Question

How do you find the next two terms of the geometric sequence `-1/4, 1/2, -1, ...`?

Answer 1

`2, and, -4`.

Explanation:

Observe that each succeeding term is obtained by multiplying the preceding term by `(-2), i.e., 1/2=(-2)(-1/4), -1=(-2)(1/2),....`.

Therefore, the term next to `(-1)" must be "(-2)(-1)=2," &, next "-4`.