Consider the expansion of (1+x)^n . Let p, q, r and s be the coefficients of first, second, n^th and (n+1)^th terms respectively. What is ( p s+q r )…

Question

Consider the expansion of (1+x)^n . Let p, q, r and s be the coefficients of first, second, n^th and (n+1)^th terms respectively. What is ( p s+q r ) equal to?

MARKS Content Team · Accepted Answer

Correct answer: (C) 1+n^2. According to question p=^n C_0=1, q=^n C_1=n r=^n C_n-1=^n C_1=n and S=^n C_n=1 ∴ p s+q r=1 × 1+n × n=1+n^2

Consider the expansion of $(1+x)^n$. Let $p, q, r$ and $s$ be the coefficients of first, second, $n^{\text {th }}$ and $(n+1)^{\text {th }}$ terms respectively. What is ( $p s+q r$ ) equal to?

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