For the sequence: $5, –2, –9, –16, …$

1. What is $t\left(50\right)$, the $50$^th term?

   Answer (a):

   $−338$

2. Calculate $S\left(50\right)$, the sum of the first $50$ terms.

   Hint (b):

   $\frac{50(5+(-338))}{2}$