Sum to p terms of the series 1 2 + ( 1 2 + 3 2 ) + ( 1 2 + 3 2 + 5 2 ) + . . . . is Options: A . &nbsp13(p3+3p2−p) B . &nbsp13(p4+2p4) C . &nbsp16p(p+1)(2p2+2p−1) D . &nbspNone of these E . &nbsp1000

Sum to p terms of the series 12+(12+32)+(12+32+52)+.... is

Question

Sum to p terms of the series

1^{2} + (1^{2} + 3^{2}) + (1^{2} + 3^{2} + 5^{2}) + . . . .

Answer: Option C
:
C
At p=2, sum = 1+10 =11
Put p=2 in answer options
Only Option c gives 11

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