Consider the sequence \((a_n)_{n \ge 0}\) which starts \(8, 14, 20, 26, \ldots\text{.}\)

1. What is the next term in the sequence?

2. Find a formula for the \(n\)th term of this sequence.

3. Find the sum of the first 100 terms of the sequence: \(\sum_{k=0}^{99}a_k\text{.}\)