Question

Which best describes the relationship between the successive terms in the sequence shown 2.4, -4.8, 9.6, -19.2

A) the common difference is -7.2
B) the common difference is -2.4
C) the common ratio is -2.0
D) the common ratio is -0.5

Answer 1

C. The common ratio is -2. Each one divided by the one before it is -2. -4.8/2=2, 9.6/-4.8=-2 and so on down the line.

Hope that helps.

Answer 2

Answer: C) the common ratio is -2.

Explanation:

We know that the common difference of an Arithmetic progression is given by the difference between any two the successive terms where as the common ratio is the ratio of the successive terms.

The given sequence : 2.4, -4.8, 9.6, -19.2

We can see that the term are alternating , neither increasing nor decreasing.

So we don't need to find the common difference here.

So we find the common ratio to show the relation between successive terms :-

`r=(-4.8)/(2.4)=(9.6)/(-4.8)=-2`

Hence, the common ratio is -2.