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What is a descending arithmetic sequence?
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What is a descending arithmetic sequence?What is a descending arithmetic sequence? ...
by Pieter SIlver Status
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How do you write the nth term rule for the sequence \(1,3,5,7,9, \ldots ?\)
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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 \(1,3,5,7,9, \ldots ?\) ...
by Pieter SIlver Status
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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:
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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: ...
by Pieter SIlver Status
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asked in Mathematics Jan 17
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What is a geometric sequence?
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What is a geometric sequence?What is a geometric sequence? ...
by Pieter SIlver Status
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asked in Mathematics Jan 17
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Find an expression for the nth term of the sequence \(3,7,11,15,19, \ldots\)
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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 \(3,7,11,15,19, \ldots\) ...
by Pieter SIlver Status
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asked in Mathematics Jan 17
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Find an expression for the \(n\)th term of the sequence. \(10,50,250,1250, \ldots\)
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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.  \(10,50,250,1250, \ldots\) ...
by Pieter SIlver Status
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asked in Mathematics Jan 17
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Write the first five terms of \(a_{n}=2\left(3^{n-1}\right)\)
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Write the first five terms of \(a_{n}=2\left(3^{n-1}\right)\)Write the first five terms of \(a_{n}=2\left(3^{n-1}\right)\) ...
by Pieter SIlver Status
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asked in Mathematics Jan 17
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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: \[ 7 ; 4 ;-3 ;-14 ; \ldots \]
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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: \[ -7 ;-15 ;-25 ;-37 ; \ldots \]
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Consider the series $\sum_{n=1}^{\infty} \frac{\cos (n \pi)}{n}$. Which of the following statements is TRUE?
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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?   (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?
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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?   (A) $g_{x}=2 x y+\cos y+y \cos x$. (B) $g_{y}=2 x-\sin y+\s ...
by MathsGee Platinum
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Determine whether the following series converge or diverge. $\sum_{n=1}^{\infty} \dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}$
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Determine whether the following series converge or diverge. $\sum_{n=1}^{\infty}(-1)^{n}\left(\dfrac{n^{3}-1+n^{2} \sin n}{1+3 n^{3}}\right)^{n}$

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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 $\dfrac{1}{1+x^{2}}$

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Write $\dfrac{\pi}{4}$ as a series.
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Write $\dfrac{\pi}{4}$ as a series.Write $\dfrac{\pi}{4}$ as a series. ...
by MathsGee Platinum
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Which FIVE of the following statements are FALSE ?
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Which FIVE of the following statements are FALSE ?Which FIVE of the following statements are FALSE ?   A. The sequence $\left\{\frac{\cos (n \pi)}{n}\right\}$ diverges   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
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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   A. $\quad(-3,-1$   B. $-3,-1$ &nbs ...
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Which FIVE of the following statements are TRUE?
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Which FIVE of the following statements are TRUE?Which FIVE of the following statements are TRUE?   A. The series $\sum_{n=1}^{\infty}\left(\frac{4 n-3}{3 n-4}\right)^{n}$ converges   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.

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Find the limit of the sequence $\left\{\dfrac{-1}{(-1)^{n}}\right\}$ (if it exists).
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