Question

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

Answer 1

First find the common ratio of this geometric sequence.

We will use $r = \frac{a2 }{a1 }$.

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

So we have $\frac{21}{7}$ and this reduces to $\frac{3}{1}$ 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.

Answer 2

Answer: 189
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