Let n be a positive integer. Let S(n) = n sigma j=1 ((1/3j ? 2) ?...

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Let n be a positive integer. Let S(n) = n sigma j=1 ((1/3j ? 2)? (1/3j + 1)). a) Compute the value of S(1), S(2), S(3), and S(4).b) Make a conjecture that gives a closed form (i.e., not asummation) formula for the value of S(n). c) Use induction to proveyour conjecture is correct.

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Given the Series is a To compute the value of S1 S2 S3 annd S4 wewill just replace n in the above series by 1 2 3 and 4 one byone So we have For n 1 ieFor n 2 we have For n 3 we have Similarly for n 4 we have b we have In order find the closed form of the above See Answer

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Let n be a positive integer. Let S(n) = n sigma j=1 ((1/3j ? 2) ?...

70.2K

Verified Solution

Question

Advance Math

Let n be a positive integer. Let S(n) = n sigma j=1 ((1/3j ? 2)? (1/3j + 1)). a) Compute the value of S(1), S(2), S(3), and S(4).b) Make a conjecture that gives a closed form (i.e., not asummation) formula for the value of S(n). c) Use induction to proveyour conjecture is correct.

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