Question

Which best describes the relationship between the successive terms in the sequence shown?

2.4, –4.8, 9.6, –19.2

The common difference is –7.2.
The common difference is –2.4.
The common ratio is –2.0.
The common ratio is –0.5.

Answer 1

Take any term and subtract the one before it. -4.8 - 2.4 = -7.2 but -19.2 - 9.6 = -28.8 so the difference is NOT common
Dividing pairs of terms gives -4.8 / 2.4 = -2. 9.6 / -4.8 = -2. -19.2 / 9.6 = -2 so there is a common ratio of -2

Answer 2

The statement that describes the relationship between the successive terms in the sequence is - The common ratio is -2.0

What is sequence?

"It is an arrangement of numbers in a particular order followed by some rule."

For given example,

We have been given a sequence.

2.4, –4.8, 9.6, –19.2

First we take the difference between each successive terms.

-4.8 - 2.4 = -7.2

9.6 - (-4.8) = 14.4

-19.2 - 9.6 = 28.8

We can observe the the difference between successive terms is not the same.

Now, we take the ratio between each successive terms.

$\frac{-4.8}{2.4}=-2\\\\\frac{9.6}{-4.8}=-2\\\\ \frac{-19.2}{9.6}=-2$

We can observe that the ratio between each successive terms is equal.

This means, the given sequence has common ratio -2.

Therefore, the statement that describes the relationship between the successive terms in the sequence is - The common ratio is -2.0

Learn more about the sequence here:

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