By finding the first 4 terms in the expansion of (1+2x)^(-2) in ascending powers of x and find the coefficient of x^n term. Hence deduce the coefficient of x^n term in the expansion of (x+3)(1+2x)^(-2).
The Attempt at a Solution
The first two parts were easy. For the first part, the answer is 1 - 4x + 12x^2 - 32x^3 + ...
For the second part, [(-1)^n](n+1)(2^n). But I'm stunned at the last part. How do I deduce?