MathsGee Answers - Recent questions tagged geometric
https://mathsgee.com/tag/geometric
Powered by Question2AnswerDetermine the coordinates of the intercept of the following two lines: $2x - 3y = 17$ and $ 3x - y = 15$
https://mathsgee.com/26147/determine-coordinates-intercept-following-lines-2x-17-and
Determine the coordinates of the intercept of the following two lines: $2x - 3y = 17$ and $ 3x - y = 15$Mathematicshttps://mathsgee.com/26147/determine-coordinates-intercept-following-lines-2x-17-andThu, 08 Apr 2021 01:24:15 +0000The first four terms of a geometric sequence are $7;x;y;189$.
https://mathsgee.com/26144/the-first-four-terms-of-a-geometric-sequence-are-7-x-y-189
<p>The first four terms of a geometric sequence are $7;x;y;189$.</p>
<ol>
<li>Determine the values of $x$ and $y$.</li>
<li>If the constant ratio is $3$, make use of a suitable formula to determine the number of terms in the sequence that will give a sum of 206 668.</li>
</ol>Mathematicshttps://mathsgee.com/26144/the-first-four-terms-of-a-geometric-sequence-are-7-x-y-189Thu, 08 Apr 2021 01:17:42 +0000Calculate the value of: $\dfrac{99+97+95+...+1}{299+297+295+...+201}$
https://mathsgee.com/26142/calculate-the-value-of-dfrac-99-97-95-1-299-297-295-201
Calculate the value of: $\dfrac{99+97+95+...+1}{299+297+295+...+201}$Mathematicshttps://mathsgee.com/26142/calculate-the-value-of-dfrac-99-97-95-1-299-297-295-201Thu, 08 Apr 2021 01:15:34 +0000The first two terms of a geometric sequence are: $(x+3)$ and $(x^2-9)$
https://mathsgee.com/26141/the-first-two-terms-of-a-geometric-sequence-are-x-3-and-x-2-9
<p>The first two terms of a geometric sequence are: $(x+3)$ and $(x^2-9)$</p>
<ol>
<li>For which value of $x$ is this a converging sequence?</li>
<li>Calculate the value of $x$ if the sum of the series to infinity is $13$.</li>
</ol>Mathematicshttps://mathsgee.com/26141/the-first-two-terms-of-a-geometric-sequence-are-x-3-and-x-2-9Thu, 08 Apr 2021 01:13:34 +0000How do I know which type of sequence (arithmetic, geometric, quadratic) to use when given a question?
https://mathsgee.com/26126/which-sequence-arithmetic-geometric-quadratic-given-question
How do I know which type of sequence (arithmetic, geometric, quadratic) to use when given a question?Mathematicshttps://mathsgee.com/26126/which-sequence-arithmetic-geometric-quadratic-given-questionThu, 08 Apr 2021 00:48:48 +0000Is the sequence $2;-4;8;-16;...$ converging or not?
https://mathsgee.com/26122/is-the-sequence-2-4-8-16-converging-or-not
Is the sequence $2;-4;8;-16;...$ converging or not?Mathematicshttps://mathsgee.com/26122/is-the-sequence-2-4-8-16-converging-or-notThu, 08 Apr 2021 00:31:56 +0000What is the formula for the sum of a geometric sequence?
https://mathsgee.com/26120/what-is-the-formula-for-the-sum-of-a-geometric-sequence
What is the formula for the sum of a geometric sequence?Mathematicshttps://mathsgee.com/26120/what-is-the-formula-for-the-sum-of-a-geometric-sequenceThu, 08 Apr 2021 00:27:38 +0000What is the formula for the general term of a geometric sequence?
https://mathsgee.com/26118/what-is-the-formula-for-the-general-term-geometric-sequence
What is the formula for the general term of a geometric sequence?Mathematicshttps://mathsgee.com/26118/what-is-the-formula-for-the-general-term-geometric-sequenceThu, 08 Apr 2021 00:24:45 +0000What is the formula for the general term of the sequence $2;5;8;11;...$?
https://mathsgee.com/26116/what-is-the-formula-for-the-general-term-of-the-sequence-2-11
What is the formula for the general term of the sequence $2;5;8;11;...$?Mathematicshttps://mathsgee.com/26116/what-is-the-formula-for-the-general-term-of-the-sequence-2-11Thu, 08 Apr 2021 00:23:38 +0000What are Geometric Sequences?
https://mathsgee.com/25936/what-are-geometric-sequences
What are Geometric Sequences?Mathematicshttps://mathsgee.com/25936/what-are-geometric-sequencesSat, 03 Apr 2021 23:13:46 +0000What is the difference between an arithmetic mean and a geometric mean?
https://mathsgee.com/25853/what-the-difference-between-arithmetic-mean-geometric-mean
What is the difference between an arithmetic mean and a geometric mean?Data Sciencehttps://mathsgee.com/25853/what-the-difference-between-arithmetic-mean-geometric-meanMon, 29 Mar 2021 23:22:46 +0000How do I test for an arithmetic sequence?
https://mathsgee.com/25715/how-do-i-test-for-an-arithmetic-sequence
How do I test for an arithmetic sequence?Mathematicshttps://mathsgee.com/25715/how-do-i-test-for-an-arithmetic-sequenceSun, 28 Mar 2021 23:29:34 +0000How do I derive the formula for the Arithmetic Sequence?
https://mathsgee.com/25175/how-do-i-derive-the-formula-for-the-arithmetic-sequence
How do I derive the formula for the Arithmetic Sequence?Mathematicshttps://mathsgee.com/25175/how-do-i-derive-the-formula-for-the-arithmetic-sequenceMon, 22 Feb 2021 08:14:09 +0000Which of the following tools is needed to use geometric construction to draw a bisector of a line segment?
https://mathsgee.com/24737/following-needed-geometric-construction-bisector-segment
Which of the following tools is needed to use geometric construction to draw a bisector of a line segment?<br />
<br />
A: compass<br />
<br />
B: protractor<br />
<br />
C: straight edgeMathematicshttps://mathsgee.com/24737/following-needed-geometric-construction-bisector-segmentSun, 07 Feb 2021 03:22:07 +0000In coordinate geometry ___ are used to find the measurements of geometric figures.
https://mathsgee.com/24717/coordinate-geometry-used-measurements-geometric-figures
In coordinate geometry ___ are used to find the measurements of geometric figures.Mathematicshttps://mathsgee.com/24717/coordinate-geometry-used-measurements-geometric-figuresSun, 07 Feb 2021 03:06:36 +0000What geometric shapes can you divide this bigger shape into so that you can easily find the area?
https://mathsgee.com/24715/what-geometric-shapes-divide-bigger-shape-that-easily-find
<p>What geometric shapes can you divide this bigger shape into so that you can easily find the area?</p>
<p><img alt="" src="https://mathsgee.com/?qa=blob&qa_blobid=5942387737357269743" style="height:210px; width:283px"></p>Mathematicshttps://mathsgee.com/24715/what-geometric-shapes-divide-bigger-shape-that-easily-findSun, 07 Feb 2021 03:04:57 +000040 ; 8 ; 1,6 ; 0,32 ; 0,064 ; ... is a given sequence.
https://mathsgee.com/17474/40-8-1-6-0-32-0-064-is-a-given-sequence
40 ; 8 ; 1,6 ; 0,32 ; 0,064 ; ... is a sequence.<br />
<br />
Find the sum of the first eleven terms of the given sequence.Mathematicshttps://mathsgee.com/17474/40-8-1-6-0-32-0-064-is-a-given-sequenceFri, 21 Aug 2020 16:40:24 +0000A geometric sequence has all its terms positive.
https://mathsgee.com/17473/a-geometric-sequence-has-all-its-terms-positive
A geometric sequence has all its terms positive. The first term is 7 and the third term is 28.<br />
<br />
a. Find the common ratio.<br />
<br />
b. Find the sum of the first 14 terms.Mathematicshttps://mathsgee.com/17473/a-geometric-sequence-has-all-its-terms-positiveFri, 21 Aug 2020 16:36:09 +0000If you are given the sequence: 3 ; 12 ; 48 ; 192 ; 768 ; ...
https://mathsgee.com/17472/if-you-are-given-the-sequence-3-12-48-192-768
If you are given the sequence: 3 ; 12 ; 48 ; 192 ; 768 ; ...<br />
<br />
a. Find the 12th term of the sequence<br />
<br />
b. Find the sum of the first eight termsMathematicshttps://mathsgee.com/17472/if-you-are-given-the-sequence-3-12-48-192-768Fri, 21 Aug 2020 16:32:06 +0000Given the sequence $−15;−11;−7;…173$
https://mathsgee.com/17112/given-the-sequence-15-11-7-173
<p>Given the sequence $−15;−11;−7;…173$</p>
<ol>
<li>Is this an arithmetic sequence?</li>
<li>Find the formula of the general term.</li>
<li>Determine the number of terms in the sequence.</li>
</ol>Mathematicshttps://mathsgee.com/17112/given-the-sequence-15-11-7-173Mon, 17 Aug 2020 13:16:09 +0000Calculate the geometric mean.
https://mathsgee.com/15999/calculate-the-geometric-mean
<p>The estimated change in population as at 30 June in the five years from 1998 to 2002 for South Africa is shown in the table below:</p>
<p><img alt="" src="https://mathsgee.com/?qa=blob&qa_blobid=15405045643970477832" style="height:272px; width:406px">
<br>
<br>
Calculate the geometric mean.</p>Data Sciencehttps://mathsgee.com/15999/calculate-the-geometric-meanFri, 19 Jun 2020 09:29:36 +0000Given the sequence $4 ;x;32$ Determine the values of $x$ if the sequence is arithmetic and geometric
https://mathsgee.com/14170/sequence-determine-values-sequence-arithmetic-geometric
Given the sequence $4 ;x;32$ Determine the values of $x$ if the sequence is arithmetic and geometricMathematicshttps://mathsgee.com/14170/sequence-determine-values-sequence-arithmetic-geometricSat, 06 Jun 2020 20:42:17 +0000Given the sequence $−15;−11;−7;…173$. Is this an arithmetic sequence? What is the formula of the general term?
https://mathsgee.com/9621/given-sequence-173-this-arithmetic-sequence-formula-general
Given the sequence $−15;−11;−7;…173$. Is this an arithmetic sequence? What is the formula of the general term?Mathematicshttps://mathsgee.com/9621/given-sequence-173-this-arithmetic-sequence-formula-generalThu, 30 Apr 2020 02:21:16 +0000What are the important characteristics of an arithmetic sequence?
https://mathsgee.com/9619/what-are-the-important-characteristics-arithmetic-sequence
What are the important characteristics of an arithmetic sequence?Mathematicshttps://mathsgee.com/9619/what-are-the-important-characteristics-arithmetic-sequenceThu, 30 Apr 2020 02:18:57 +0000A quadratic pattern is given by $T_n=n^2+b_n+c$. Find the values of $b$ and $c$ if the sequence starts with the following terms: $−1;2;7;14;…$
https://mathsgee.com/9617/quadratic-pattern-values-sequence-starts-following-terms
A quadratic pattern is given by $T_n=n^2+b_n+c$. Find the values of $b$ and $c$ if the sequence starts with the following terms: $−1;2;7;14;…$Mathematicshttps://mathsgee.com/9617/quadratic-pattern-values-sequence-starts-following-termsThu, 30 Apr 2020 02:17:02 +0000I cant see how common-difference and common ratio are not the same in sequences, can you help me understand?
https://mathsgee.com/9614/common-difference-common-ratio-same-sequences-understand
I cant see how common-difference and common ratio are not the same in sequences, can you help me understand?Mathematicshttps://mathsgee.com/9614/common-difference-common-ratio-same-sequences-understandThu, 30 Apr 2020 02:12:42 +0000Determine the general formula for the n term of each of the following geometric sequences: $5;10;20;…$
https://mathsgee.com/9613/determine-general-formula-following-geometric-sequences
Determine the general formula for the n term of each of the following geometric sequences: $5;10;20;…$Mathematicshttps://mathsgee.com/9613/determine-general-formula-following-geometric-sequencesThu, 30 Apr 2020 02:11:37 +0000The n term of a sequence is given by the formula $T_n=6 \times 13^{n−1}$. Write down the first three terms of the sequence.
https://mathsgee.com/9612/sequence-given-formula-times-write-first-three-terms-sequence
The n term of a sequence is given by the formula $T_n=6 \times 13^{n−1}$. Write down the first three terms of the sequence.Mathematicshttps://mathsgee.com/9612/sequence-given-formula-times-write-first-three-terms-sequenceThu, 30 Apr 2020 02:10:52 +0000Consider the following terms: $(k−4);(k+1);m;5k$ The first three terms form an arithmetic sequence and the last three terms form a geometric sequence. Determine the values of k and m if both are positive integers. [IEB, Nov 2006]
https://mathsgee.com/9611/consider-following-arithmetic-geometric-determine-integers
Consider the following terms: $(k−4);(k+1);m;5k$ The first three terms form an arithmetic sequence and the last three terms form a geometric sequence. Determine the values of k and m if both are positive integers. [IEB, Nov 2006]Mathematicshttps://mathsgee.com/9611/consider-following-arithmetic-geometric-determine-integersThu, 30 Apr 2020 02:09:11 +0000Given a geometric sequence with second term 12 and ninth term 64. Determine the value of r. Find the value of a. Determine the general formula of the sequence.
https://mathsgee.com/9610/geometric-sequence-determine-determine-formula-sequence
Given a geometric sequence with second term 12 and ninth term 64. Determine the value of r. Find the value of a. Determine the general formula of the sequence.Mathematicshttps://mathsgee.com/9610/geometric-sequence-determine-determine-formula-sequenceThu, 30 Apr 2020 02:08:14 +0000$5;x;y$ is an arithmetic sequence and $x;y;81$ is a geometric sequence. All terms in the sequences are integers. Calculate the values of $x$ and $y$.
https://mathsgee.com/9609/arithmetic-sequence-geometric-sequence-sequences-calculate
$5;x;y$ is an arithmetic sequence and $x;y;81$ is a geometric sequence. All terms in the sequences are integers. Calculate the values of $x$ and $y$.Mathematicshttps://mathsgee.com/9609/arithmetic-sequence-geometric-sequence-sequences-calculateThu, 30 Apr 2020 02:01:00 +0000Insert three geometric means between −1 and −181. Give all possible answers.
https://mathsgee.com/9608/insert-three-geometric-means-between-181-possible-answers
Insert three geometric means between −1 and −181. Give all possible answers.Mathematicshttps://mathsgee.com/9608/insert-three-geometric-means-between-181-possible-answersThu, 30 Apr 2020 01:58:28 +0000What are geometric transformations in mathematics? Explain with examples.
https://mathsgee.com/5121/geometric-transformations-mathematics-explain-examples
What are geometric transformations in mathematics? Explain with examples.Mathematicshttps://mathsgee.com/5121/geometric-transformations-mathematics-explain-examplesMon, 04 Nov 2019 05:03:20 +0000The sequence 3; 9; 17; 27; ... is a quadratic sequence. Determine an expression for the nth term of the sequence.
https://mathsgee.com/1983/sequence-quadratic-sequence-determine-expression-sequence
The sequence 3; 9; 17; 27; ... is a quadratic sequence. Determine an expression for the nth term of the sequence.Mathematicshttps://mathsgee.com/1983/sequence-quadratic-sequence-determine-expression-sequenceThu, 08 Aug 2019 21:56:52 +0000If 2; x; 18; ... are the first three terms of a geometric sequence, determine the value(s) of x.
https://mathsgee.com/1982/are-the-first-three-terms-geometric-sequence-determine-value
If 2; x; 18; ... are the first three terms of a geometric sequence, determine the value(s) of x.Mathematicshttps://mathsgee.com/1982/are-the-first-three-terms-geometric-sequence-determine-valueThu, 08 Aug 2019 21:56:03 +0000The sequence $4 ; x ; y ; 18$ is such that $ 4 ; x ; y $ form an arithmetic sequence and $x,y$ and 18 form a geometric sequence
https://mathsgee.com/115/sequence-such-arithmetic-sequence-form-geometric-sequence
<p>The sequence $4 ; x ; y ; 18$ is such that $ 4 ; x ; y $ form an arithmetic sequence and $x,y$ and 18 form a geometric sequence</p>
<ol>
<li>Using the common difference of the arithmetic sequence, determine $y$ in terms of $x$</li>
<li>Using the common ratio of the geometric sequence, determine $y$ in terms of $x$</li>
<li>Hence, or otherwise, calculate the value(s) of $x$ and $y$</li>
</ol>
<p> </p>
Mathematicshttps://mathsgee.com/115/sequence-such-arithmetic-sequence-form-geometric-sequenceTue, 05 Mar 2019 06:36:13 +0000Given the geometric series $ 15 + 5 + \frac{5}{3} + ...$
https://mathsgee.com/113/given-the-geometric-series-15-5-frac-5-3
<p>Given the geometric series $ 15 + 5 + \frac{5}{3} + ...$</p>
<ol>
<li>Explain why the series converges</li>
<li>Evaluate $ \sum_{n=1}^{\infty} 5(3^{2 - n})$</li>
</ol>
Mathematicshttps://mathsgee.com/113/given-the-geometric-series-15-5-frac-5-3Tue, 05 Mar 2019 06:29:33 +0000$x+2$ and $x^{2} - 4$ are the first and second terms of a geometric series respectively
https://mathsgee.com/106/are-the-first-and-second-terms-geometric-series-respectively
<p>$x+2$ and $x^{2} - 4$ are the first and second terms of a geometric series respectively.</p>
<p>Calculate:</p>
<ol>
<li>the value(s) of x for which the series converges</li>
<li>x if $S_{\infty} = 6$</li>
</ol>
Mathematicshttps://mathsgee.com/106/are-the-first-and-second-terms-geometric-series-respectivelyTue, 05 Mar 2019 06:12:44 +0000Given the sequence $4 ; x ; 32$
https://mathsgee.com/100/given-the-sequence-4-x-32
<p>Given the sequence $4 ; x ; 32$</p>
<p>Determine the value(s)of x if the sequence is:</p>
<ol>
<li>Arithmetic</li>
<li>Geometric</li>
</ol>
Mathematicshttps://mathsgee.com/100/given-the-sequence-4-x-32Tue, 05 Mar 2019 05:52:17 +0000$x ; 4 ; y $ form an arithmetic sequence while $ x ; \sqrt{15} ; y$ form a geometric sequence. Calculate $x$ and $y$.
https://mathsgee.com/94/arithmetic-sequence-while-sqrt-geometric-sequence-calculate
$x ; 4 ; y $ form an arithmetic sequence while $ x ; \sqrt{15} ; y$ form a geometric sequence. Calculate $x$ and $y$.Mathematicshttps://mathsgee.com/94/arithmetic-sequence-while-sqrt-geometric-sequence-calculateTue, 05 Mar 2019 05:27:55 +0000Given the geometric sequence: 27 ; 9 ; 3 ...
https://mathsgee.com/91/given-the-geometric-sequence-27-9-3
<p>Given the geometric sequence: 27 ; 9 ; 3 ...</p>
<ol>
<li>​Determine a formula for $T_{n}$, the nth term of the sequence.</li>
<li>Why does the sum to infinity for this sequence exist?</li>
<li>Determine $S_{\infty}$</li>
</ol>
<p> </p>
<p> </p>
<p> </p>
Mathematicshttps://mathsgee.com/91/given-the-geometric-sequence-27-9-3Tue, 05 Mar 2019 04:55:09 +0000