ireallydontlikemath ireallydontlikemath

10-03-2017
Mathematics

Answered

Write the sum using summation notation, assuming the suggested pattern continues.

-1 + 2 + 5 + 8 + ... + 44

Verified Answer :

11-03-2017

\(\displaystyle\\ \overset{15}{\underset{k=0}{\Sigma}} (3k-1) =-1 + 2 + 5 + 8 + \cdots + 44 = \frac{16(44-1)}{2}=8\times 43 = 344 \\\\ \text{The general case:}\\\\ \overset{n}{\underset{k=0}{\Sigma}} (3k-1)=-1 + 2 + 5 + 8 + \cdots + (3n-1) = \frac{(n+1)((3n-1)-1)}{2}\)

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