Question

Input the values into the formula below

to find the 8th term in the sequence.
1
-1, 4, -16,...
4)
Ist term • common ratioſdesired term - 1)
[?] •[ ][ - 1)

Answer 1

The 8th term = -4,096

Explanation:

Given:

¼, -1, 4, -16, . . .

Required:

8th term of the sequence

Solution:

1st term = ¼

Common ratio = -1/¼ = 4/-1 = -16/4 = -4

Desired term = 8

Plug in the values into the formula given:

`(1)/(4) * -4^((8 - 1))`

`(1)/(4) * -4^(7)`

`(1)/(4) * -16,384`

`(-16,384)/(4)`

= -4,096