Home
Class 12
MATHS
n+(n-1)x+(n-2)x^2+........+2x^(n-2)+x^(n...

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

Text Solution

Verified by Experts

The correct Answer is:
`(x(x^(n)-1))/((x-1)^(2))-n/(x-1)`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 4|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 5|3 Videos

  • PROGRESSION & SERIES

    FIITJEE|Exercise EXERCISE 2|4 Videos

  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series n+(n-1)x+(n-2)x^(2)+.........+2x^(n-2)+x^(r)

If x + y = 1, show that D ^ (n) (x ^ (n) y ^ (n)) = n! [Y ^ (n) - (nC_ (1)) ^ (2) y ^ (n -1) x + (nC_ (2)) ^ (2) y ^ (n-2) x ^ (2) + ...... + (- 1) ^ (n) x ^ (n)]

lim_(x rarr a)x^(n) + ax^(n-1) +a^(2)x^(n-2) + .........+a^(n)= ________.

If I_(n)=int_(0)^(1)(1+x+x^(2)+....+x^(n-1))(1+3x+5x^(2)+....+(2n-3)x^(n-2)+(2n-1)x^(n-1))dx,n in N, then the value of sqrt(I_(9)) is

Find the value of (1+x)^(n)+nc_(1)(1+x)^(n-1)*(1-x)+^(n)C_(2)(1+x)^(n-2)(1-x)^(2)+.........+(1-x)^(n)

Divide x^(2n)+a^(2^(n-1))x^(2^(n-1))+a^(2^(n))byx^(2^(n-1))-a^(2^(n-2))x^(2^(n-2))+a^(2^(n-1))

Coefficient of x^(n-1) in the expansion of.(x+3)^(n)+(x+3)^(n-1)(x+2)+(x+3)^(n-2)(x+2)^(2)+.........+(x+2)^(n) is :

Prove,by induction,that (nC_(0))/(x)-(nC_(1))/(x+1)+(nC_(2))/(x+2)-.........+(-1)^(n)*(nC_(n))/(x+n)=(n!)/(x(x+1)(x+2)......(x+n)),x in

Find the sum (x+2)^(n-1)+(x+2)^(n-2)(x+1)^(+)(x+2)^(n-3)(x+1)^(2)++(x+1)^(n)(x+2)^(n-2)-(x+1)^(n) b.(x+2)^(n-2)-(x+1)^(n-1) c.(x+2)^(n)-(x+1)^(n) d.none of these