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If the coefficient of the rth, `(r+1)th and (r+2)th` terms in the expansion of `(1+x)^(n)` are in A.P., prove that `n^(2) - n(4r +1) + 4r^(2) - 2=0`.

A

`n^(2) - 2np + 4p^(2) = 0 `

B

`n^(2) - n (4p+1)+ 4p^(2) - 2 = 0 `

C

`n^(2) - n (4p +1) + 4p^(2) = 0 `

D

None of the above

Text Solution

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The correct Answer is:
B
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