Home
Class 12
MATHS
the value of overset(n)underset(r=2)(su...

the value of `overset(n)underset(r=2)(sum)(-2)^(r ) |{:( .^(n-2)C_(r-2),,.^(n-2)C_(r-1),,.^(n-2)C_(r)),(-3,,1 ,,1),(2,,-1,,0):}| (n gt 2)`

A

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

B

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

C

`2n-3+(-1)^(n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 3|13 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Prove that "^nC_r+2 ^(n)C_(r-1)+ ^(n)C_(r-2) = ^(n+2)C_r .

Evaluate : underset (r=1) overset (n) sum ""^nC_r 2^r .

If ^n-1C_r=(k^2-3)^n C_(r+1),then k in

The vaule of sum_(r=0)^(n-1) (""^(C_(r))/(""^(n)C_(r) + ""^(n)C_(r +1))) is equal to

The value of lim_(ntooo)sum_(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

If .^(n)C_(r )=84, .^(n)C_(r-1)=36 " and" .^(n)C_(r+1)=126 , then find the value of n.

sum_(r=1)^(n) {sum_(r1=0)^(r-1) ""^(n)C_(r) ""^(r)C_(r_(1)) 2^(r1)} is equal to

if .^(2n)C_(2):^(n)C_(2)=9:2 and .^(n)C_(r)=10 , then r is equal to

Prove that: sum_(r=0)^(n) 3^( r) ""^(n)C_(r) = 4^(n) .