expectation and variance

Hi can anyone help me with this question

A sequence of identicak and independent benoulli trials, each with probability p of success, is performed. Let the random variable X be the number of trials up to and including the nth success.

By expressing X as a sum of geometricrandom variables, or otherwise, find the expectation and variance of X.

I guess we can use Binomial distribution.(check?)

Expectation = np
Variance=np(1-p)

i dont think so.

any other ideas?