Question

Given the following geometric sequence, find the common ratio. 0,45,0.9,1.8,

Answer 1

The common ratio is 2.

Explanation:

If a given set of elements represents a geometric, each pair of elements must the one and same ratio. That is:

`(n_(i+1))/(n_(i)) = r, \forall\,i\in \mathbb{N}`,
`n_(i), n_(i+1)\in N`

Where:

`n_(i)` - i-th element of the given set.

`N` - Set of elements.

If we know that
`n_(1) = 0.45`,
`n_(2) = 0.9` and
`n_(3) = 1.8`, then common ration is:

`(n_(2))/(n_(1)) = (n_(3))/(n_(2)) = 2`

The common ratio is 2.