# How to compute an iterated product in Sage

I am wondering about how to define a function `f(n, k, i)`

that will take inputs `n`

, `k`

, `i`

and give me the following product:
$$
\prod_{\ell = 1}^i {n + k - \ell \choose k}
$$
So for $i = 2$, this would look like ${n + k - 1 \choose k}\cdot {n + k - 2 \choose k}$. Would I use a for loop to iteratively add to the product until all `i`

terms were accounted for?