Question

Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, ... a. -2.5; -125, 312.5, -781.25 c. 2.5; -125, 312.5, -781.25 b. -2.5; -70, 240.6, -642.85 d. 2.5; -70, 240.6, -642.85

Answer 1

Answer:

The common ratio is -2.5

The next three terms are;

-125, 312.5 and -781.25

Step-by-step explanation:

Here, firstly we want to determine the common ratio

To

do this, we have to divide the succeeding term by the preceding term

We have this as;

50/-20 = -20/8 = -2.5

Now, to get the next terms,

we multiply the given last term by the common ratio

That will be;

50 * -2.5 = -125

next is to multiply this by the common ratio

That will be;

-125 * -2.5 = 312.5

And lastly, we have

312.5 * -2.5 = -781.25