weBwork 2017SummerSession1, Math-2B-441 1 0 Assignment4-2B 1 6 ob. List Assignme

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weBwork 2017SummerSession1, Math-2B-441 1 0 Assignment4-2B 1 6 ob. List Assignment4 2B: Problem 16 (1 pt) Determine the sum of the following series. (-2)7-1 9n n=1 Preview Answers Submit Answers You have attempted this problem 0 times. Your overall recorded score is 0%. You have unlimited attempts remaining. - For login help or questions with the UCI WeBWorK system click here For instructions on how to enter answers in WeBWorK click here UCI WeBWORK Frequently Asked Questions (read this before emailing us)- Page generated at 5:44pm on Jul 25, 2017 weBworK © 2000-2006 The webworkProiect

Explanation / Answer

Expanding the series : by putting n = 1,2,3,.....

1/9 , -2/92 , 4/93 , -8/94 , .......

This forms a Geometric progression with r(common ratio) = -2/9

Sum of infinite G.P , S = a/(1-r) , a= 1/9 , r = -2/9

S = (1/9)/(1-(-2/9)) = (1/9)/(1+2/9) = 1/11

Sum of series = 1/11

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