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3. S=₁ 3 2 n=0n +9 = 3 3 + 9 10 13 18 25 34 339 + + 3 3 3 + +-+... (a) Use the integral test to show that S converges. (b) Use a calculator to find $20, accurate to six decimal places. (c) Use S20 and Sn + n+l f(x) dx ≤ S≤s + f(x)dx to find a range of possible values for accurate to six decimal places.

3. S=₁ 3 2 n=0n +9 = 3 3 + 9 10 13 18 25 34 339 + + 3 3 3 + +-+... (a) Use the integral test to show that S converges. (b) Use a calculator to find $20, accurate to six decimal places. (c) Use S20 and Sn + n+l f(x) dx ≤ S≤s + f(x)dx to find a range of possible values for accurate to six decimal places.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 42E
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3. S= 3 n=0 n +9 3 =- 9 2 3 3 3 3 3 + .+... + + + + 10 13 18 25 34 3 (a) Use the integral test to show that S converges. (b) Use a calculator to find s20, accurate to six decimal places. A 8 < Th (c) Use $20 and 5, + Sn n+1 f(x)dx ≤ S≤s + f(x)dx to find a range of possible values for S, accurate to six decimal places.
Transcribed Image Text:3. S= 3 n=0 n +9 3 =- 9 2 3 3 3 3 3 + .+... + + + + 10 13 18 25 34 3 (a) Use the integral test to show that S converges. (b) Use a calculator to find s20, accurate to six decimal places. A 8 < Th (c) Use $20 and 5, + Sn n+1 f(x)dx ≤ S≤s + f(x)dx to find a range of possible values for S, accurate to six decimal places.
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