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Question 4: Suppose $\{a_n\}_{n=1}^{\infty}$ and $\{b_n\}_{n=1}^{\infty}$ are sequences. It is known that $a_n = 3$ for all $n \geq 1$ and $\sum_{k=1}^{\infty} b_k = 2$. A. The series $\sum_{k=1}^{\infty} a_k$: A converges to 0. D could converge or diverge. B converges to 3. E diverges. C converges, but not to 0 nor 3. F None of these B. The series $\sum_{k=1}^{\infty} (b_k - a_k)$: A converges to 0. D could converge or diverge. B converges to 1. E diverges. C converges, but not to 0 nor 1. F None of these

          Question 4: Suppose \(\{a_n\}_{n=1}^{\infty}\) and \(\{b_n\}_{n=1}^{\infty}\) are sequences. It is known that \(a_n = 3\) for all \(n \geq 1\) and \(\sum_{k=1}^{\infty} b_k = 2\).

A. The series \(\sum_{k=1}^{\infty} a_k\):

A converges to 0.
D could converge or diverge.
B converges to 3.
E diverges.
C converges, but not to 0 nor 3.
F None of these

B. The series \(\sum_{k=1}^{\infty} (b_k - a_k)\):
A converges to 0.
D could converge or diverge.
B converges to 1.
E diverges.
C converges, but not to 0 nor 1.
F None of these

$Question 4: Suppose {an}n=1^∞ and {bn}n=1^∞ are sequences. It is known that an = 3 for all n ≥ 1 and ∑k=1^∞ bk = 2. A. The series ∑k=1^∞ ak: A converges to 0. D could converge or diverge. B converges to 3. E diverges. C converges, but not to 0 nor 3. F None of these B. The series ∑k=1^∞ (bk - ak): A converges to 0. D could converge or diverge. B converges to 1. E diverges. C converges, but not to 0 nor 1. F None of these$

Added by Kari N.

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