Evaluate if it is convergent!

a) n=12n+3n5n\displaystyle\sum_{n=1}^{\infty}{\frac{{2^n}+{3^n}}{5^n}}

b) n=17n13n\displaystyle\sum_{n=1}^{\infty}{\frac{7^{n-1}}{3^n}}

c) n=1nn23\displaystyle\sum_{n=1}^{\infty}{\frac{n}{\sqrt[3]{n^2}}}

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