TS EAMCET · Maths · Binomial Theorem
If \(C_r\) denotes the binomial coefficient \({ }^n C_r\), then \((-1) C_0^2+2 C_1^2+5 C_2^2+\ldots+(3 n-1) C_n^2\) is equal to
- A \((3 n-2){ }^{2 n} C_n\)
- B \(\left(\frac{3 n-2}{2}\right){ }^{2 \pi} C_n\)
- C \((5+3 n){ }^{2 \pi} C_n\)
- D \(\left(\frac{3 n-5}{2}\right){ }^{2 \pi} C_{n+1}\)
Answer & Solution
Correct Answer
(B) \(\left(\frac{3 n-2}{2}\right){ }^{2 \pi} C_n\)
Step-by-step Solution
Detailed explanation
Consider the given expression,…
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