Sequences — practice question

State the next term in the sequence.

The sequence above has nth term $2^{n+1}$. Write an expression, in terms of $n$, for the nth term of the sequence $1, 5, 13, 29, 61, \ldots$.

Using $n$, write down an expression for the nth term of the sequence $10, 19, 32, 53, 90, \ldots$.