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answer Write out the first few terms of the series (2/3n + (-1)n/5n). What is th

ID: 3342834 • Letter: A

Question

answer

Write out the first few terms of the series (2/3n + (-1)n/5n). What is the series's sum? The first term is . (Type an integer or a simplified fraction.) The second term is . (Type an integer or a simplified fraction.) The third term is . (Type an integer or a simplified fraction.) The fourth term is . (Type an integer or a simplified fraction.) If the series is convergent, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice. The series converges. The series' sum is . (Type an integer or a simplified fraction.) The series diverges.

Explanation / Answer

plug in 0, 1, 2, 3 for the first four terms


at 0: 2/1 + 1 = 3

at 1: 2/3 - 1/5 = 7/15

at 2: =59/225

at 3: =223/3375


A) This converges to 5/6