If each coefficient in the expansion of the expression x ( 1 + x ) n ( n ∈ N ) in powers of ' x ' is divided by the exponent of corresponding power, then the sum of the values thus obtained

Question

If each coefficient in the expansion of the expression x ( 1 + x ) n ( n ∈ N ) in powers of ' x ' is divided by the exponent of corresponding power, then the sum of the values thus obtained is equal to

TestHub · Accepted Answer

1 c 0 ​ ​ + 2 c 1 ​ ​ + 3 c 2 ​ ​ + … .. + n c n − 1 ​ ​ + n + 1 c n ​ ​ = n + 1 2 n + 1 − 1 ​

Mathematics - Binomial Theorem Question with Solution | TestHub

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