Question

Whats the common ratio of the geometric sequence 6, 36, 216,

Answer 1

Answer: Find the common ratio of the geometric sequence 6, 36, 216,...6,36,216,...

a_1=6 a_2=36 a_3=216

a

1

​

=6a

2

​

=36a

3

​

=216

\text{Common Ratio:}

Common Ratio:

r=\frac{a_2}{a_1}

r=

a

1

​

a

2

​

​

r=\frac{36}{6}

r=

6

36

​

r=6

r=6

Answer 2

Common ratio is 6.

Explanation:

The geometric sequence is being multiplied by 6 each time because 6x6=36, and 36x6=216.