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Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. El-1)k-1_15 14k-1 k-1 | The series diverges.

Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. El-1)k-1_15 14k-1 k-1 | The series diverges.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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11. Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. 2(-1)k-1_15 14k–1 k=1 The series diverges.
Transcribed Image Text:11. Determine whether the series converges, and if so find its sum. If the series diverges, indicate that using the checkbox. 2(-1)k-1_15 14k–1 k=1 The series diverges.
12. Consider the following sequence: {a,) = {n – n² }, Use an+1 - a, to show that the given sequence {a, } is strictly increasing or strictly decreasing. Sequence is strictly decreasing 13. Use the difference an+1 – 4, to show that the given sequence {a, } is strictly increasing or strictly decreasing. +00 13n-2J ds+l -da = strictly decreasing (3n - 2)(3n + 2) 2 strictly increasing (Зл — 2)Зл + 1)" strictly decreasing (Зл + 2)(3л - 1) 2 strictly decreasing (Зп — 2)(3п + 1) 2 strictly increasing (3n + 2)(3n – 1)
Transcribed Image Text:12. Consider the following sequence: {a,) = {n – n² }, Use an+1 - a, to show that the given sequence {a, } is strictly increasing or strictly decreasing. Sequence is strictly decreasing 13. Use the difference an+1 – 4, to show that the given sequence {a, } is strictly increasing or strictly decreasing. +00 13n-2J ds+l -da = strictly decreasing (3n - 2)(3n + 2) 2 strictly increasing (Зл — 2)Зл + 1)" strictly decreasing (Зл + 2)(3л - 1) 2 strictly decreasing (Зп — 2)(3п + 1) 2 strictly increasing (3n + 2)(3n – 1)
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