For nge1, let an=begincasesn,2^-n, & if n is odd, -3^-n, & if n is even.endcases Which of the following statements is (are) TRUE?

Q32Section B (Section B)32 of 60

Sequence and series convergence for a two-branch sequence

For $n\ge1$ , let

$a_n=\begin{cases}n\,2^{-n}, & \text{if }n\text{ is odd},\ -3^{-n}, & \text{if }n\text{ is even}.\end{cases}$

Which of the following statements is (are) TRUE?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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