Hey there, I'll be delighted to get some help in this question:

Let  \Sigma_{n=1}^{\infty} a_{n} be a converged series.
We also know  a_{n}>0 for every n. Let  b>1 be a real number.
Prove: The series  \Sigma_{n=1}^{\infty} ( b^{a_{n}} -1 ) converges.


Thanks in advance...