If f(x) = a0 +a1x + a2x^2 +......+ anx^n +.......and f(x)/1-x = b0 + b1x + b2x^2 +.......+ bnx^n +......If a0 = 1 and b1 = 3 ​

Question

If f(x) = a₀  +a₁x + a₂x² +......+ a_nxⁿ +.......and \(\frac{f(x)}{1-x}\) = b₀ + b₁x + b₂x² +.......+ b_nxⁿ +......If a₀ = 1 and b₁ = 3 and b₁₀ = k¹¹–1, and a₀ , a₁ ,a₂ ,......are in G.P then k is

a. 2

b. 3

c. 1/2

d. none of these

Answer 1

Correct option is a. 2