Use the estimate |RN| ≤ b + 1 to find a value of N that guarantees that the sum of the first N terms of the alternating series (-1) + ¹bn differs from the infinite sum by at most the given error. n = 1 N = bn = n² error 10 -6 Calculate the partial sum SN for this N. SN

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Use the estimate IRNI SDN + 1
(-1)+¹bn differs from the infinite sum by at most the given error.
n = 1
N =
bn
1
n²
to find a value of N that guarantees that the sum of the first N terms of the alternating series
error < 10-6
Calculate the partial sum SN for this N.
SN=
Transcribed Image Text:Use the estimate IRNI SDN + 1 (-1)+¹bn differs from the infinite sum by at most the given error. n = 1 N = bn 1 n² to find a value of N that guarantees that the sum of the first N terms of the alternating series error < 10-6 Calculate the partial sum SN for this N. SN=
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