Question

If p(n):1³+2³+3³+____+(n+1)³=k then LHS of p(2)=__​


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Answer 1

Given :   p(n): 1³+2³+3³+____+(n+1)³ =k  

To Find :  p(2)

Solution:

p(n): 1³+2³+3³+____+(n+1)³ =k

P(1)  = 1³ + 2³

P(2) = 1³ + 2³  + 3³

P(2) = 1³ + 2³  + 3³  

= 1 + 8 + 27

= 36

1³+2³+3³+____+n³  = ((n)(n+1)/2)²

p(n): 1³+2³+3³+____+(n+1)³ =k    = ((n+1)(n + 2)/2 )²

P(2) = {( (2 + 1)(2 + 2)) /2 }²

= 6²

= 36

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