Series Q1

Find the nth term and the sum of n terms of the series.\[\begin{array}{l}

\left( i \right)\, & \,1 + 5 + 12 + 22 + 35 + ..... \\
\left( {ii} \right) & 1 + 3 + 7 + 15 + 31 + ..... \\
\end{array}\]