Question

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

Answer 1

Answer:

The common ratio is 2.

Step-by-step explanation:

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

$\frac{n_{i+1}}{n_{i}} = r, \forall\,i\in \mathbb{N}$, $n_{i}, n_{i+1}\in N$

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:

$\frac{n_{2}}{n_{1}} = \frac{n_{3}}{n_{2}} = 2$

The common ratio is 2.