WeBMWork AD x WeBWorK ALI x D sequences and x My Blackboard x New Tab x New Tab

Question

WeBMWork AD x WeBWorK ALI x D sequences and x My Blackboard x New Tab x New Tab x New Tab x New Tab x x Secure h ps://webwork.math.nau.edu /webwork2/ADeGraw 137/10 Series Al Mixed Up/10/?effectiveUser ha444&user; ha4448key njyAlremsPVYTzY18KyZONpNV0fuBxt We Work Logged in as ha444 Log Out A A MATHEMATICAL ASSOCIATION 0F AMERICA webwork adegrawy 137 10 series all mixed up 10 MAIN MENU Courses Homework Sets 10 Series All Mixed Up: Problem 10 10 Series All Mixed l Problem 10 Previous Problem List Next User Settings 1 poin Grades Achievements Approximate the value of the series to within an e or of at most 10 n +1 1) Problems According to Equation (2) Problem 1 ISN S N+1 Problem 2 Problem 3 what is the smallest value of Nthat approximates Sto within an error of at most 10-5? Problem 4 Problem 5 V Problem 6 Problem 7 Problem 8 Problem 9 Note: You can earn partial credit on this problem. Show all X wyzant. abofNxsg... zip A wyzant EbQfNXsg......zip 5.26 PM Ask me anything ENG 27/2017

Explanation / Answer

this is an alternating series and a(n+1) approaches 0 as n->infinity, this will get successively closer to the final sum. So you're looking for the value of n such that the term such that a(n+1)<10^-5

= 1/((n+1)^6) < 10^-5

=(n+1)^6>10^5

=n>5.81

minimum n=6

take first 6 term to approximate sum.

S=1/1-1/2^6+1/3^6-1/4^6+1/5^6-1/6^6=0.98554

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