Home
Class 12
MATHS
let underset(r=0)overset(2010)(sum)a(r)x...

let `underset(r=0)overset(2010)(sum)a_(r)x^(r)=(1+x+x^(2)+x^(3)+x^(4)+x^(5))^(402) and underset(r=0)overset(2010)(sum)a_(r)=a,` then the value of `((underset(r=0)overset(2010)(sum)r.a_(r))/(underset(r=0)overset(2010)(sum)a_(r)))` is equal to____.

Text Solution

Verified by Experts

The correct Answer is:
1005
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-H) Objective type question (Multiple True-False Type Questions)|2 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C_(r)) , then underset(r=0)overset(n)(sum)(r)/(.^(n)C_(r)) is equal to

underset(r=1)overset(n)sum ( r )/(r^(4)+r^(2)+1) is equal to

underset(r=1)overset(n)(sum)r(.^(n)C_(r)-.^(n)C_(r-1)) is equal to

If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a_(r)x^(r)(1-x)^(3n-2r) , then the value of a_(r) , where n in N is

underset(r=0)overset(n-1)(sum)(.^(n)C_(r))/(.^(n)C_(r)+.^(n)C_(r+1)) equals

If T_( r )=( r )/(r^(4)+4) and S_(n)=underset(r=1)overset(n)sum t_( r ) . Then the value of 37S_(5)-(7)/(26) is equal to