- #1

Potatochip911

- 318

- 3

## Homework Statement

Write the Maclaurin series for ##\frac{1}{(1+x)^{1/2}} ## in ##\sum## form using the binomial coefficient notation. Then find a formula for the binomial coefficients in terms of n.

## Homework Equations

3. The Attempt at a Solution [/B]

$$\frac{1}{(1+x)^{1/2}}=1-\frac{x}{2}+\frac{3x^2}{8}-\frac{5x^3}{16}+\frac{35x^4}{128} $$

This is where I get stuck, I can't seem to figure out the formula for how the terms are increasing. Is there a way to figure out the formula without using a guess and check method?