Question

What is the common ratio of the following sequence?

-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION

Answer 1

4

Explanation:

Given

-5, -20, -80, .....

Required

Determine the common ratio

The common ratio of a sequence is determined by dividing a term by its immediate previous term;

Let the term be represented with
`T_1, T_2, T_3` and the common ratio with r

From the analysis above;

`r = (T_2)/(T_1)\ or\ r = (T_3)/(T_2)`

Substitute -5 for
`T_1`; -20 for
`T_2`; -80 for
`T_3`

`r = (-20)/(-5)\ or\ r = (-80)/(-20)`

`r = 4\ or\ r = 4`

Both values of r are the same;

Hence, the common ratio of the sequence is 4