Home
Class 12
MATHS
Sum of the series sum(r=1)^(n) (r^(2)+1)...

Sum of the series `sum_(r=1)^(n) (r^(2)+1)r!` is

A

`(n+1)!`

B

`(n+2)!-1`

C

`n*(n+1)!`

D

`n*(n+2)!`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the sum of the series Sigma_(r=1)^(n) r x^(r-1) using calculus .

The sum of the series sum_(r=0)^(10) .^(20)C_(r) , is 2^(19)+{(.^(20)C_(10))/2} .

A derivable function f : R^(+) rarr R satisfies the condition f(x) - f(y) ge log((x)/(y)) + x - y, AA x, y in R^(+) . If g denotes the derivative of f, then the value of the sum sum_(n=1)^(100) g((1)/(n)) is

Evaluate sum_(r=1)^(n)rxxr!

Find the sum of the series (1^(2)+1)1!+(2^(2)+1)2!+(3^(2)+1)3!+ . .+(n^(2)+1)n! .

sum_(r=1)^n(2r+1)=...... .

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2)(n+3))/(12) where T_(r) denotes the rth term of the series. Find lim_(nto oo) sum_(r=1)^(n)(1)/(T_(r)) .

Let z_(r),r=1,2,3,...,50 be the roots of the equation sum_(r=0)^(50)(z)^(r)=0 . If sum_(r=1)^(50)1/(z_(r)-1)=-5lambda , then lambda equals to

If alpha_(1), alpha_(2), alpha_(3), beta_(1), beta_(2), beta_(3) are the values of n for which sum_(r=0)^(n-1)x^(2r) is divisible by sum_(r=0)^(n-1)x^(r ) , then the triangle having vertices (alpha_(1), beta_(1)),(alpha_(2),beta_(2)) and (alpha_(3), beta_(3)) cannot be

Statement-1: If f:{a_(1),a_(2),a_(3),a_(4),a_(5)}to{a_(1),a_(2),a_(3),a_(4),a_(5)} , f is onto and f(x)nex for each xin {a_(1),a_(2),a_(3),a_(4),a_(5)} , is equal to 44. Statement-2: The number of derangement for n objects is n! sum_(r=0)^(n)((-1)^(r))/(r!) .