Home
Class 12
MATHS
" 6.The value of "(c(1))/(2)+(c(3))/(4)+...

" 6.The value of "(c_(1))/(2)+(c_(3))/(4)+(c_(5))/(6)+...=

Promotional Banner

Similar Questions

Explore conceptually related problems

If C_(0),C_(1),C_(2), . . . .,C_(n) are binomial coefficients of order n, then the value of (C_(1))/(2)+(C_(2))/(4)+(C_(3))/(6)+ . . .=

The value of expression (C_(1))/(2)+(C_(3))/(4)+(C_(5))/(6)+.... is equal to (where C_(r)=^(n)C_(r) )

If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + C_(3)x^(3) + ...+ C_(n)x^(n) , prove that (C_(1))/(2) + (C_(3))/(4) + (C_(5))/(6) + …= (2^(n+1)-1)/(n+1) .

If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + C_(3)x^(3) + ...+ C_(n)x^(n) , prove that (C_(1))/(2) + (C_(3))/(4) + (C_(5))/(6) + …= (2^(n)-1)/(n+1) .

Prove that (C_(1))/(2)+(C_(3))/(4) +(C_(5))/(6)+….=2^(n)/(n+1) where C_(r) =^(n)C_(r)

If C_(0),C_(1),C_(2)...,C_(n), denote the binomial coefficients in the expansion of (1+x)^(n), then (C_(1))/(2)+(C_(3))/(4)+(C_(5))/(6)+...... is equal to

The value of 1^(2).C_(1)+3^(2).C_(3)+5^(2).C_(5)+... is

Prove that following (C_(1))/(2)+(C_(3))/(4)+(C_(5))/(6)+(C_(7))/(8)+……=(2^(n)-1)/(n+1)

Prove that (.^(n)C_(1))/(2) + (.^(n)C_(3))/(4) + (.^(n)C_(5))/(6) + "…." = (2^(n) - 1)/(n+1) .

Prove that (.^(n)C_(1))/(2) + (.^(n)C_(3))/(4) + (.^(n)C_(5))/(6) + "…." = (2^(n) - 1)/(n+1) .