Answer
1st term: 0; 2nd term: 2; 3rd term: 0; 4th term: 2; 100th term: 2
Work Step by Step
To find the nth term of sequence, plug in a number for n. So, for the first term, plug in 1 for n, for the second term, plug in 2 for n, and so on. In this case:
1. For the first term: 1 + $(-1)^{n}$ = $1 + (-1)^{1}$ = 0.
2. Repeat this pattern for the next three terms, plugging in 2, 3, and 4 for n and solving.
3. For the 100th term plug in 100 for n: 1 + $(-1)^{100}$ = 2.
