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MrMuchimi
3 years ago
15

Given that aₙ = (-2) (5)ⁿ⁻1 for a geometric sequence, determine the common ratio:

Mathematics
1 answer:
patriot [66]3 years ago
4 0

Answer:

5

Step-by-step explanation:

The nth term of the geometric sequence is

a_n=(-2)(5)^{n-1}

In general the nth term of a geometric sequence is

a_n=a_1(r)^{n-1}

By comparism;

r=5 is the common ratio of the sequence.

Or

a_1=(-2)(5)^{1-1}=-2

a_2=(-2)(5)^{2-1}=-10

Common ratio is

r=\frac{-10}{-2}=5

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