Home
Class 12
MATHS
sum(r=1)^n (a^r +br) , a , b in R^+ ...

`sum_(r=1)^n (a^r +br) , a , b in R^+` is equal to :

A

`(1-a^n)/(1-a) + (bn(n+1))/2`

B

`(b(1-a^n))/(1-a) + (an(n+1))/2`

C

`(a(1-a^n))/(1-a) + (bn(n+1))/2`

D

`(a(1-a^n))/(1-a) + (an(n+1))/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

sum_(r=1)^n r(n-r) is equal to :

sum_(r=1)^n r (n-r +1) is equal to :

sum_(r = 1)^(n) r. r! is equal to

lim_(x to oo ) tan { sum_(r=1)^(n) tan^(-1) ((1)/( 1 +r +r^2))} is equal to ________.

The sum of the series sum_(r=1)^(n) (-1)^(r-1).""^(n)C_(r)(a-r), n gt 1 is equal to :

The value of sum_(r=0)^(n) r(n -r) (""^(n)C_(r))^(2) is equal to

The sum of the series sum_(r=1)^(n)(-1)^(r-1)*nC_(r)(a-r) is equal to :

lim_(n to oo) sum_(r=1)^(n) ((r^(3))/(r^(4) + n^(4))) equals to-

lim_(nrarr0) sum_(r=1)^(n) ((r^(3))/(r^(4)+n^(4))) equals to :