Binomial random variable with parameters. 
Let $\text X$ be a binomial random variable with paramets $n$ and $p$. Show that $$E\left(\dfrac{1}{1+\text X}\right)=\dfrac{1-(1-p)^{n+1}}{(n+1)p}.$$

Would anyone mind telling me how to solve this question?

Hint: 
$$\frac{1}{k+1}\binom{n}{k}=\frac{1}{n+1}\binom{n+1}{k+1}.$$
The rest will use the Binomial Theorem.
