AP EAMCET · Maths · Binomial Theorem
If \(|x| \lt 1\), then the number of terms in the expansion of \(\left[\frac{1}{2}\left(1.2+2.3 x+3.4 x^2+\ldots . . \infty\right)\right]^{-25}\) is
- A Infinite
- B 101
- C 76
- D 51
Answer & Solution
Correct Answer
(C) 76
Step-by-step Solution
Detailed explanation
\(\because(1-x)^{-1}=1+x+x^2+x^3+x^4+\ldots \infty\) Differentiate w.r.t. \(x\) \((1-x)^{-2}=1+2 x+3 x^2+4 x^3+\ldots \infty\) Differentiate again w.r.t. \(x\)…
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