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NeTakaya
3 years ago
11

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

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

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.

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