TS EAMCET · Maths · Mathematical Induction
The coefficient of \(x^n\) in the expansion of \(\frac{1}{x^2-5 x+6}\) for \(|x| < 1\) is
- A \(\frac{1}{2^{n-1}}-\frac{1}{3^{n-1}}\)
- B \(\frac{1}{2^{n+2}}-\frac{1}{3^{n+2}}\)
- C \(\frac{1}{2^{n+1}}-\frac{1}{3^{n+1}}\)
- D \(\frac{1}{2^n}-\frac{1}{3^n}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{2^{n+1}}-\frac{1}{3^{n+1}}\)
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