# algebra1

Which of the following functions represents a geometric sequence? Why?

The function f(x)=x7 represents a geometric sequence because each term is raised to the seventh power to make it greater.

The function f(x)=7x represents a geometric sequence because each term is the next higher multiple of 7.

The function f(x)=7x represents a geometric sequence because each term is 7 times as great as the previous term.

The function f(x)=−7x+3 represents a geometric sequence because each term is 7 less than the previous term.

1. check the ratio between terms. If it is constant, you have a GP.

For example, check the first 3 terms of

f(x) = -7x+3
f(1) = -4
f(2) = -11
f(3) = -18

(-11)/(-4) ≠ (-18)/(-11) so not a GP

Use ^ for exponents, as in
x^7 and 7^x

posted by Steve

First Name

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