If the coefficients of the rth, ( r + 1) th and ( r + 2) th terms in the - Maths - Binomial Theorem

Question

If the coefficients of the rth, ( r + 1) th and ( r + 2) th terms
in the expansion of ( 1 + x) to the power of n are in A P , prove
that n square - n ( 4r + 1) + 4 r square - 2 = 0?

Varun.Rawat · Accepted Answer

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If the coefficients of the rth, ( r + 1) th and ( r + 2) th terms in the expansion of ( 1 + x) to the power of n are in A.P., prove that n square - n ( 4r + 1) + 4 r square - 2 = 0?