Question

Determine the Next three terms in the following sequence -1 1/2 -1/4 1/8

Answer 1

-

`- (1)/(16) \\ (1)/(32) \\ ( - 1)/(64)`

Explanation:

It's a geometric sequence with the common ratio r = -1/2

1st: -1

2nd: (-1)x(-1/2) = 1/2

3rd: (1/2) x (-1/2) = -1/4

4th: (-1/4) x (-1/2) = 1/8

so:

5th: (1/8) x (-1/2) = -1/16

6th: (-1/16) x (-1/2) = 1/32

7th: (1/32) x (-1/2) = -1/64

Answer 2

-1/16 1/32 -1/64

Explanation:

They are dividing by -2 each time; therefore, they multiply (1/4) x (-1/2), (-1/16) x (-1/2), (1/32) x (-1/2) because of the keep change flip rule.