The sum of (x+2)^(n-1)+ (x+2)^(n-2) (x+1...

The sum of `(x+2)^(n-1)+ (x+2)^(n-2) (x+1) + (x+2)^(n-3) (x+1)^(2) + cdots + (x+1)^(n-1)` is equal to

A

`(x+2)^(n-2)-(x+1)^(n)`

B

`(x+2)^(n-1) -(x+1)^(n-1)`

C

`(x+2)^(n)- (x+1)^(n)`

D

None of these

Verified by Experts

The correct Answer is:

C

The sum of (x+2)^(n-1)+ (x+2)^(n-2) (x+1) + (x+2)^(n-3) (x+1)^(2) + cd...
Text Solution
|
Find the sum (x+2)^(n-1)+(x+2)^(n-2)(x+1)^+(x+2)^(n-3)(x+1)^2++(x+1)^(...
Text Solution
|
The value of ""(n)C(1). X(1 - x )^(n-1) + 2 . ""^(n)C(2) x^(2) (1 -...
Text Solution
|
Let S(n)(x)=(x^(n-1)+(1)/(x^(n-1)))+2(x^(n-2)+(1)/(x^(n-2)))+"....."+(...
Text Solution
|
यदि |x| lt 1//2 , तो 1 + n ( ( x ) /( 1 - x )) + (n ( n ...
Text Solution
|
The sum of : (x+ 2)^(n-1) + ( x+2) ^(n-2) (x+1) + ( x+2)^(n-3) (x+1)...
Text Solution
|
The coefficient of x^(n) in (1-(x)/(1!)+(x^(2))/(2!)-(x^(3))/(3!)+...+...
Text Solution
|
" The coefficient of "x^(n)" in "(1-x/(1!)+(x^2)/(2!)+..+((-1)^n(x^n))...
Text Solution
|
(x+2)^(n-1)+ (x+2)^(n-2)(x+1)+ (x+2)^(n-3)(x+1)^(2)+ ....+ (x+1)^(n-1)...
Text Solution
|

Similar Questions