00 Consider the series a, where aj = - and an+1 а, = -5 for n > 1. Write the sum an as a geometric series in the form n=1 n=1 > ar". Then state whether the series converges or diverges. If the series does converge, find its value. n=1 00 (a) E. an = E %3D n=1 n=1

00 Consider the series a, where aj = - and an+1 а, = -5 for n > 1. Write the sum an as a geometric series in the form n=1 n=1 > ar". Then state whether the series converges or diverges. If the series does converge, find its value. n=1 00 (a) E. an = E %3D n=1 n=1

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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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Question

an
and
an+1
= -5 for n > 1. Write the sum
Consider the series
an where a =
an as a geometric series in the form
n=1
n=1
00
> ar". Then state whether the series converges or diverges. If the series does converge, find its value.
n=1
00
(a) E.
Σ
an =
n=1
n=1
(b) The series ?
(c) The value of the series
An
is
(Enter exact values, enter DNE if the series diverges.)
n=1
iM³

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