Question

The sum of coefficients of integral powers of \( x \) in the binomial expansion of \( (1-2 \sqrt{x})^{50} \) is:

(A) \( \frac{1}{2}\left(3^{50}+1\right) \) 

(B) \( \frac{1}{2}\left(3^{50}\right) \) 

(C) \( \frac{1}{2}\left(3^{50}-1\right) \) 

(D) \( \frac{1}{2}\left(2^{50}+1\right) \)

Answer 1

Correct option: (A) \(\frac{1}{2}(3^{50}+1)\)

Let T_t+1 be the general term in the expension of