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The table gives the terms of the geometric sequence
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The table gives the terms of the geometric sequence Help-example-1

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Answer:

a) common ratio: 0.8

b) equation: y = 100(0.8^x)

Explanation:

Given the terms of a geometric sequence ...

(x, y) = (0, 100), (1, 80), (2, 64), ...

you want the common ratio and the equation in the form y=a·b^x.

Ratio

The common ratio is the ratio of each term to the previous term:

b = 80/100 = 64/80 = 51.2/64 = 0.8

Multiplier

The value of 'a' in the equation is the value of y when x=0. The table tells you a = 100.

Equation

For a = 100 and b = 0.8, the equation is ...

y = a(b^x)

y = 100(0.8^x)

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