Question

Q2: Multiple Choice [4 pts] Fill in the circle next to the best response. Suppose that $\{a_n\}\_{n=1}^{\infty}$ is a sequence and let $s_n = \sum_{k=1}^{n} a_k$. Suppose that it is known that $\lim_{n \to \infty} s_n = 5$. Then: $\sum_{k=1}^{\infty} s_k$ must diverge. $\sum_{k=1}^{\infty} s_k$ must converge to 5. $\sum_{k=1}^{\infty} s_k$ must converge, but insufficient information is given to determine its value. $\sum_{k=1}^{\infty} s_k$ must converge to 0. $\sum_{k=1}^{\infty} s_k$ could converge or diverge.

          Q2: Multiple Choice [4 pts] Fill in the circle next to the best response.
Suppose that \(\{a_n\}\_{n=1}^{\infty}\) is a sequence and let $s_n = \sum_{k=1}^{n} a_k$. Suppose that it is known that $\lim_{n \to \infty} s_n = 5$. Then:
$\sum_{k=1}^{\infty} s_k$ must diverge.
$\sum_{k=1}^{\infty} s_k$ must converge to 5.
$\sum_{k=1}^{\infty} s_k$ must converge, but insufficient information is given to determine its value.
$\sum_{k=1}^{\infty} s_k$ must converge to 0.
$\sum_{k=1}^{\infty} s_k$ could converge or diverge.

$Q2: Multiple Choice [4 pts] Fill in the circle next to the best response. Suppose that {an}{n=1^∞ is a sequence and let sn = ∑k=1^n ak. Suppose that it is known that limn →∞ sn = 5. Then: ∑k=1^∞ sk must diverge. ∑k=1^∞ sk must converge to 5. ∑k=1^∞ sk must converge, but insufficient information is given to determine its value. ∑k=1^∞ sk must converge to 0. ∑k=1^∞ sk could converge or diverge.$

Added by Samuel J.

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