Expand the following sums and products. That is, write them out the long way.
\(\d\sum_{k=1}^{100} (3+4k)\text{.}\)
\(\d\sum_{k=0}^n 2^k\text{.}\)
\(\d\sum_{k=2}^{50}\frac{1}{(k^2 - 1)}\text{.}\)
\(\d\prod_{k=2}^{100}\frac{k^2}{(k^2-1)}\text{.}\)
\(\d\prod_{k=0}^n (2+3k)\text{.}\)