Question

Identify the missing term in the following geometric sequence:

4, -2, 1, -1/2, 1/4

A. 1/8

B. -1/8

C. 1/16

D. -1/16

Answer 1

B. -1/8

Explanation:

Using the terms given in the sequence:

4, -2, 1, -1/2, 1/4

we can find the pattern by dividing since it is a geometric seqence:

-2/4 = -1/2

1/-2 = -1/2

-1/2 ÷ 1 = -1/2

So, each term is multiplied by -1/2 to get the next term in the sequence:

`(1)/(4)*-(1)/(2)=-(1)/(8)`