Find the sum of the following series upto n terms 52 + 62 + 72 + ……+ 202
Find the sum of the following series upto n terms 52 + 62 + 72 + ……+ 202
Tn of given series
= (nth term of 5, 6, 7,…..)2
= [5 + (n + 1).1]2
= (n + 4)2 = n2 + 8n + 16
Sn = ∑ n2 + 8∑ n + 16 × n
= 
= 
= 
= 
Put n = 16, then
S = 
= 
= 
= 8 × 355 = 2840.
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.
