Write Series As A Summation In Sigma Notation

3+2+5/3+3/2

PLEASE HELP ME AND THANK YOU IF YOU DO!!!!

Solution

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First it decreases by 1 because 3-2 = 1

then it decreases by 1/3 because 2 – 5/3 = 6/3-5/3 = 1/3

then it decreases by 1/6 because 5/3 – 3/2 = 10/6 – 9/6 = 1/6

So then next step will be decreasing by 1/9, then 1/12, then 1/15

A1 = 3

A(n) = A(n-1) – (1/(3(n-1))