# Recent questions tagged sequence

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What is a descending arithmetic sequence?
What is a descending arithmetic sequence?What is a descending arithmetic sequence? ...
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How do you write the nth term rule for the sequence $1,3,5,7,9, \ldots ?$
How do you write the nth term rule for the sequence $1,3,5,7,9, \ldots ?$How do you write the nth term rule for the sequence $1,3,5,7,9, \ldots ?$ ...
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Find the next 2 terms and Tn: 2;4;6;8;16
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Use this pattern of differences to find the next term of the sequence:
Use this pattern of differences to find the next term of the sequence: Use this pattern of differences to find the next term of the sequence: ...
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Find the common ratio of the geometric sequence $1,3,9,27, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eighth term of the sequence.
Find the common ratio of the geometric sequence $1,3,9,27, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eighth term of the sequence.Find the common ratio of the geometric sequence $1,3,9,27, \ldots$ Then express each sequence in the form $a_{n}=a_{1} r^{n-1}$ and find the eight ...
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What is a geometric sequence?
What is a geometric sequence?What is a geometric sequence? ...
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Find an expression for the nth term of the sequence $3,7,11,15,19, \ldots$
Find an expression for the nth term of the sequence $3,7,11,15,19, \ldots$Find an expression for the &nbsp;nth term of the sequence $3,7,11,15,19, \ldots$ ...
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Find an expression for the $n$th term of the sequence. $10,50,250,1250, \ldots$
Find an expression for the $n$th term of the sequence. $10,50,250,1250, \ldots$Find an expression for the $n$th term of the sequence. &nbsp;$10,50,250,1250, \ldots$ ...
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Write the first five terms of $a_{n}=2\left(3^{n-1}\right)$
Write the first five terms of $a_{n}=2\left(3^{n-1}\right)$Write the first five terms of $a_{n}=2\left(3^{n-1}\right)$ ...
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Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$
Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$Write the first five terms of a sequence described by the general term $a_{n}=3 n+2$ ...
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Find the constant second difference for the following sequence: $7 ; 4 ;-3 ;-14 ; \ldots$
Find the constant second difference for the following sequence: $7 ; 4 ;-3 ;-14 ; \ldots$Find the constant second difference for the following sequence: \ 7 ; 4 ;-3 ;-14 ; \ldots \ ...
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Find the common second difference for the following sequence: $-13 ;-25 ;-43 ;-67 ; \ldots$
Find the common second difference for the following sequence: $-13 ;-25 ;-43 ;-67 ; \ldots$Find the common second difference for the following sequence: \ -13 ;-25 ;-43 ;-67 ; \ldots \ ...
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Find the common second difference for the following sequence: $-7 ;-15 ;-25 ;-37 ; \ldots$
Find the common second difference for the following sequence: $-7 ;-15 ;-25 ;-37 ; \ldots$Find the common second difference for the following sequence: \ -7 ;-15 ;-25 ;-37 ; \ldots \ ...
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Consider the series $\sum_{n=1}^{\infty} \frac{\cos (n \pi)}{n}$. Which of the following statements is TRUE?
Consider the series $\sum_{n=1}^{\infty} \frac{\cos (n \pi)}{n}$. Which of the following statements is TRUE?Consider the series $\sum_{n=1}^{\infty} \frac{\cos (n \pi)}{n}$. Which of the following statements is TRUE? &nbsp; (A) The series is not conditiona ...
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Let $g(x, y)=x^{2} y+\cos y+y \sin x$, Which of the following statements is TRUE?
Let $g(x, y)=x^{2} y+\cos y+y \sin x$, Which of the following statements is TRUE?Let $g(x, y)=x^{2} y+\cos y+y \sin x$ Which of the following statements is TRUE? &nbsp; (A) $g_{x}=2 x y+\cos y+y \cos x$. (B) $g_{y}=2 x-\sin y+\s ... close 0 answers 7 views Determine, giving reasons, whether the sequence$\left\{a_{n}\right\}=\left\{\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right\}$is convergent or divergent. If it is convergent, find the value to which it converges.Determine, giving reasons, whether the sequence$\left\{a_{n}\right\}=\left\{\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right\}$is convergent or diverge ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$0 answers 5 views Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$0 answers 4 views Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$Determine whether the following series converge or diverge.$\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given that$\dfrac{1}{1-x}=1+x+x^{2}+x^{3}+\cdots=\sum_{n=0}^{\infty} x^{n}$. Write down the power series of$\dfrac{1}{1+x^{2}}$0 answers 6 views Given that$\dfrac{1}{1-x}=1+x+x^{2}+x^{3}+\cdots=\sum_{n=0}^{\infty} x^{n}$. Write down the power series of$\dfrac{1}{1+x^{2}}$Given that$\dfrac{1}{1-x}=1+x+x^{2}+x^{3}+\cdots=\sum_{n=0}^{\infty} x^{n}$. Write down the power series of$\dfrac{1}{1+x^{2}}$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Write$\dfrac{\pi}{4}$as a series. 0 answers 8 views Write$\dfrac{\pi}{4}$as a series.Write$\dfrac{\pi}{4}$as a series. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Which FIVE of the following statements are FALSE ? 0 answers 6 views Which FIVE of the following statements are FALSE ?Which FIVE of the following statements are FALSE ? &nbsp; A. The sequence$\left\{\frac{\cos (n \pi)}{n}\right\}$diverges &nbsp; B.$\quad \cos \ ...
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The interval of convergence of the series $\sum_{n=1}^{\infty} \dfrac{(-1)^{n}(x+2)^{n}}{n}$ is
The interval of convergence of the series $\sum_{n=1}^{\infty} \dfrac{(-1)^{n}(x+2)^{n}}{n}$ isThe interval of convergence of the series $\sum_{n=1}^{\infty} \dfrac{(-1)^{n}(x+2)^{n}}{n}$ is &nbsp; A. $\quad(-3,-1$ &nbsp; B. $-3,-1$ &nbs ...
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Which FIVE of the following statements are TRUE?
Which FIVE of the following statements are TRUE?Which FIVE of the following statements are TRUE? &nbsp; A. The series $\sum_{n=1}^{\infty}\left(\frac{4 n-3}{3 n-4}\right)^{n}$ converges &nbsp; B ...
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Determine whether the integral $\int_{3}^{3+e} \ln (x-3) d x$ is convergent or divergent. If convergent, give the value the integral converges to.
Determine whether the integral $\int_{3}^{3+e} \ln (x-3) d x$ is convergent or divergent. If convergent, give the value the integral converges to. Determine whether the integral $\int_{3}^{3+e} \ln (x-3) d x$ is convergent or divergent. If convergent, give the value the integral converges to. ...
Find the limit of the sequence $\left\{\dfrac{-1}{(-1)^{n}}\right\}$ (if it exists).
Find the limit of the sequence $\left\{\dfrac{-1}{(-1)^{n}}\right\}$ (if it exists).Find the limit of the sequence $\left\{\dfrac{-1}{(-1)^{n}}\right\}$ (if it exists). ...