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I need help finding the common ratio and general term equation

I need help finding the common ratio and general term equation-example-1
User Amri
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From the given graph, we see that

1st term = 32

2nd term = 24

3rd term = 18

So, the geometric sequence is 32, 24, 18...

The general form of the geometric sequence is given by


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

Where aₙ is the nth term, a₁ is the first term and r is the common ratio.

The common ratio is basically the ratio of any two consecutive terms.

r = 18/24 = 0.75

r = 24/32 = 0.75

So, the common ratio is 0.75

The first term is 32

So, the general equation of the sequence becomes


a_n=32(0.75)^(n-1)

User Mohammad Abumazen
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