Question

What is the common ratio of the sequence 3, 21, 147, … ?

Answer 1

Answer:

Common ratio = 7

Step-by-step explanation:

If a sequence is a geometric sequence, given in the form of a, a(r), a(r)² ..........

common ratio of the given sequence will be = $\frac{ar}{a}=r$

Now we apply this rule in the given sequence 3, 21, 147,.............

Then the common ratio r = $\frac{\text{Second term}}{\text{First term}}$

r = $\frac{21}{3}$

r = 7

This can be applied in 2nd and 3rd term but common ratio will remain same as 7.

Therefore, common ratio = 7 is the answer.

Answer 2

1029 the sequence increases by multiples of 7.