Question

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

Answer 1

They're multiplied by -2.

Explanation:

If we analyze the terms in the sequence, we can see that the numbers are alternating between positive and negative values. So, the terms in the sequence have to do with multiplication and division instead of addition and subtraction.

In order to find out how much each value was multiplied, we need to divide.

-4.8 / 2.4 = -48 / 24 = -2

9.6 / -4.8 = 96 / -48 = -2

-19.2 / 9.6 = -192 / 96 = -2

All of the terms appear to be multiplied by the same term: -2. So, the relationship between the successive terms in the sequence shown is that they are all multiplied by -2.

Hope this helps!

Answer 2

Geometric Sequence

Explanation:

Since we are multiplying each successive term by common ratio r of -2, we have our sequence:

`a_n = 2.4(2)^(n-1)`