Question

Determine whether the following series converges or diverges.\\ $\sum_{n=1}^{\infty} \frac{20}{(4n-3)(4n+1)}$ Select the correct choice below and fill in the answer box(es) to complete your choice. A. The limit of the terms of the series is ___. Because this is not _, the series diverges by the Divergence Test. B. This is a p-series with $p = $_. Since $p >$_, the series converges. C. The limit of the terms of the series is _. By the Divergence Test, the series converges. D. This is a p-series with $p = $_. Since $p \le$___, the series diverges. E. This is a telescoping series and $\lim_{n \to \infty} S_n = $_____. Therefore, the series converges. F. This is a telescoping series and $\lim_{n \to \infty} S_n = $_____. Therefore, the series diverges.

          Determine whether the following series converges or diverges.\\
$\sum_{n=1}^{\infty} \frac{20}{(4n-3)(4n+1)}$
Select the correct choice below and fill in the answer box(es) to complete your choice.
A. The limit of the terms of the series is _____. Because this is not _____, the series diverges by the Divergence Test.
B. This is a p-series with $p = $_____. Since $p >$_____, the series converges.
C. The limit of the terms of the series is _____. By the Divergence Test, the series converges.
D. This is a p-series with $p = $_____. Since $p \le$_____, the series diverges.
E. This is a telescoping series and $\lim_{n \to \infty} S_n = $_____. Therefore, the series converges.
F. This is a telescoping series and $\lim_{n \to \infty} S_n = $_____. Therefore, the series diverges.

Determine whether the following series converges or diverges.

∑n=1^∞(20)/((4n-3)(4n+1))
Select the correct choice below and fill in the answer box(es) to complete your choice.
A. The limit of the terms of the series is . Because this is not , the series diverges by the Divergence Test.
B. This is a p-series with p =. Since p >, the series converges.
C. The limit of the terms of the series is . By the Divergence Test, the series converges.
D. This is a p-series with p =. Since p ≤, the series diverges.
E. This is a telescoping series and limn →∞ Sn =. Therefore, the series converges.
F. This is a telescoping series and limn →∞ Sn =. Therefore, the series diverges.

Added by Maureen R.

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