Question

Given the following geometric sequence, find the common ratio. {0.45, 0.9, 1.8, ...}

Answer 1

the common ratio is, 2

Explanation:

Common ratio for geometric sequences states that the ratio of a term to the previous term.

It is represented by r

Given the sequence:

0.45, 0.9, 1.8, ...

This is a geometric sequence with first term 0.45

Common ration(r) = 2

Since;

`(0.9)/(0.45) = 2`,

`(1.8)/(0.9) = 2` and so on

therefore, the common ratio is, 2

Answer 2

0.45 times what=0.90?
seems to be 2
for

`a_n` and
`a_(n+1)`, (1 term and the next)
common ratio=
`(a_n)/(a_(n+1))`
0.45 and 0.9
0.9/0.45=2
common ratio is 2