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AP EAMCET2002MathematicsBinomial Theorem

In the expansion of (1+x)^n the coefficients of p th and (p+1) th terms are respectively p and q , then p+q is equal to

Options

  1. An
  2. Bn+1
  3. Cn+2
  4. Dn+3

Correct answer

B. n+1

Step-by-step solution

We have, aligned T_p & = ^n C_ p-1 =p T_ p+1 & = ^n C_p=q p q & = ^n C_ p-1 ^n C_p p q & = p n-p+1 p+q=n+1 aligned

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