Evaluate the sum 15 Sigma 8k2 3k K12Solution Sigma 8k2 3k

Solution

Sigma 8k^2 + 3k whre K=12 -> 15 but sigma k^2 = k*(k+1)*(2k+1)/6 and sigma k = k*(k+1)/2 Sigma 8k^2 + 3k whre K=12 -> 15 = Sigma 8k^2 + 3k whre K=15 - Sigma 8k^2 + 3k whre K=12 = 8* 15*(15+1)*(2*15+1)/6 + 3*15*(15+1)/2 - 8* 12*(12+1)*(2*12+1)/6 - 3*12*(12+1)/2 on solvng you will get the answer