Terms and running totals

You will make the terms of a sequence from its formula, build its partial sums with a loop, and then get the terms back from the sums. The checker tells you which tasks pass.

The idea. A partial sum is the one before it plus one new term. To go back, subtract: $a_1 = S_1$ and $a_n = S_n - S_{n-1}$.

Your tasks.

1. Set terms to the list of the first $10$ terms, $a_1$ to $a_{10}$, using a(n).
2. Set sums to the list of the partial sums $S_1$ to $S_{10}$.
3. Set back to the terms recovered from sums.