Question
Question: \(C_{0} + 2C_{1} + 3C_{2} + .... + (n + 1)C_{n}\)term in the expansion of \((n + 2)2^{n - 1}\) is....
C0+2C1+3C2+....+(n+1)Cnterm in the expansion of (n+2)2n−1 is.
A
(n+1)2n−1
B
(n+2)2n
C
15C02−15C12+15C22−....−15C152
D
2C0+222C1+323C2+....+11211C10
Answer
15C02−15C12+15C22−....−15C152
Explanation
Solution
Tr+1
0≤r≤55