Question

What is the next term of the geometric sequence?
7, 21, 63

Answer 1

Answer: 189
Step-by-step explanation:
The rule for this sequence is to multiply by 3.
7•3 = 21
21•3= 63
So the next term would be 189 because,
63•3=189

Answer 2

First find the common ratio of this geometric sequence.

We will use
`r = (a2 )/(a1 )`.

The second term is 21 and the first term is 7.

So we have
`(21)/(7)` and this reduces to
`(3)/(1)` or 3.

So, we take the last term in our geometric sequence

and multiply it by the common ratio we just found.

So we have 63 · 3 which is 189.

So the next term in this geometric sequence is 189.