Question

A geometric sequence is shown.

Fill in the missing terms for the geometric sequence.

What is the common ratio for this geometric sequence?
__, -11, 22, __, 88, -176
Common ratio: __

Answer 1

If it's a geometric sequence, that means the next term is found by multiplying by a constant number

Answer 2

So to find the common ratio, we take two terms that are next to each other and divide

-176 / 88 = ??
22 / -11 = ??

that's our common ratio

Answer 3

it should be the same number if it is indeed a geometric sequence

Answer 4

what do you get for the common ratio?

Answer 5

-2

Answer 6

Thank you

Answer 7

Good! That's our common ratio

so now if you notice, the number that comes after gets multiplied by -2

Answer 8

so we went from 11 to -22

we multiplied 11 by -2 to get -22

to find the next number, we have to multiply -22 by -2

so what is -22 * -2 =

Answer 9

44
and -11/-2 = 5.5

Answer 10

You got it! Well done :)

Answer 11

thank you

Answer 12

It was my pleasure :)