Which of the following correctly describe the relationship between the convergence of an infinite series and the convergence of its sequence of partial sums? Choose all that apply (there is more than one correct answer). If the infinite series converges, then the sequence of partial sums converges. If the sequence of partial sums converges, then the infinite series converges. If the infinite series does not converge, then the sequence of partial sums does not converge. If the sequence of partial sums does not converge, then the infinite series does not converge.
Which of the following correctly describe the relationship between the convergence of an infinite series and the convergence of its sequence of partial sums? Choose all that apply (there is more than one correct answer). If the infinite series converges, then the sequence of partial sums converges. If the sequence of partial sums converges, then the infinite series converges. If the infinite series does not converge, then the sequence of partial sums does not converge. If the sequence of partial sums does not converge, then the infinite series does not converge.
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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Transcribed Image Text:Which of the following correctly describe the relationship between the convergence of an infinite series and
the convergence of its sequence of partial sums? Choose all that apply (there is more than one correct
answer).
If the infinite series converges, then the sequence of partial sums converges.
If the sequence of partial sums converges, then the infinite series converges.
If the infinite series does not converge, then the sequence of partial sums does not converge.
If the sequence of partial sums does not converge, then the infinite series does not converge.
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