In the expansion of (1+x)34, the coeffients of the (2r+1)th and (r+2)th terms are equal Find r - Maths - Binomial Theorem

Question

In the expansion of (1+x)34, the coeffients of the
(2r+1)th and (r+2)th terms are equal Find
r?

Gursheen kaur. · Accepted Answer

As we know that the coefficient of r th in the expansion of (1 + x) n is n C r â€“ 1 âˆ´ Coefficients of (r +2)th and (2r +1)th term in the Expansion of (1 + x)34 are 34C r + 1 and 34C2 r It is given that these coefficients are equal 34C r + 1 = 34C2 r â‡’ r +1 = 2r ( $âˆµ$ n C r = n CS â‡’ r = S or r + S = n) â‡’ r =1

In the expansion of (1+x)34, the coeffients of the (2r+1)th and (r+2)th terms are equal. Find r?

In the expansion of (1+x)³⁴, the coeffients of the (2r+1)^th and (r+2)^th terms are equal. Find r?