Consider the following infinite series. Complete parts (a) through (c). Σ 310.1) k=1 a. Find the first four partial sums S₁, S2, S3, and S4. S₁ = 0.3 S₂ = 0.33 S3 = 0.333 (Simplify your answer. Type an integer or a decimal.) b. Find a formula for the nth partial sum Sn of the infinite series. Sn=3(0.1) (Use integers or fractions for any numbers in the expression.) S4 = 0.3333

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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Consider the following infinite series. Complete parts (a) through (c).
Σ 310.1)
k=1
a. Find the first four partial sums S₁, S2, S3, and S4.
S₁ = 0.3
S₂ = 0.33
S3 = 0.333
(Simplify your answer. Type an integer or a decimal.)
b. Find a formula for the nth partial sum Sn of the infinite series.
Sn=3(0.1)
(Use integers or fractions for any numbers in the expression.)
S4 = 0.3333
Transcribed Image Text:Consider the following infinite series. Complete parts (a) through (c). Σ 310.1) k=1 a. Find the first four partial sums S₁, S2, S3, and S4. S₁ = 0.3 S₂ = 0.33 S3 = 0.333 (Simplify your answer. Type an integer or a decimal.) b. Find a formula for the nth partial sum Sn of the infinite series. Sn=3(0.1) (Use integers or fractions for any numbers in the expression.) S4 = 0.3333
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