TS EAMCET · Maths · Binomial Theorem
In the expansion of \((1+x)^n\), the coefficients of \(p\) th and \((p+1)\) th terms are respectively \(p\) and \(q\) then \(p+q=\)
- A \(n+3\)
- B \(n+2\)
- C \(n\)
- D \(n+1\)
Answer & Solution
Correct Answer
(D) \(n+1\)
Step-by-step Solution
Detailed explanation
In the expansion of \((1+x)^n\), the general term i.e. \((r+1)\) th tem is \[ T_{Y+1}={ }^n C_Y(1)^{n-y} X^Y={ }^n C_Y X^Y \] \(\therefore\) Coefficient of \((r+1)\) th term is \({ }^n C_Y\) Similarly, coefficient of \(p\) th term \(={ }^n C_{p-1}\)…
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