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Mathematics 16 Online
OpenStudy (sparklestaraa):

E.J. has shown that a function, f(x), grows by 12% for every unit in the domain. What does this prove? The function f(x) is an arithmetic sequence. The function f(x) is a geometric sequence. The function f(x) is not a sequence. This does not prove anything.

OpenStudy (sparklestaraa):

@Miracrown

Miracrown (miracrown):

To solve it, first we need to know what's the problem telling us. let's say f(0)=a

Miracrown (miracrown):

so, what do we get for f(1)?

Miracrown (miracrown):

please note that f(x) increases 12% for each unit

Miracrown (miracrown):

We need to know what does 12% represents 12% is 0.12 written in decimal numbers Right? So, if we're increasing 12% the previous value, how do you think we can write it?

OpenStudy (sparklestaraa):

0<x<.12 ? @Miracrown sorry my connection was a little bad and f(1)=.12 f(2)=.24 etc.

OpenStudy (sparklestaraa):

@DanJS

OpenStudy (danjs):

look at the part about geometric sequences

OpenStudy (danjs):

y = A*r^x when 0 < r < 1 exponential decay

OpenStudy (danjs):

A geometric sequence is defined as a sequence in which the quotient of any two consecutive terms is a constant.

OpenStudy (danjs):

If the next term is always 12 percent larger than the previous. It will fall under that definition

OpenStudy (danjs):

If you divide the (n+1)th term by the nth term, you will get a constant

OpenStudy (sparklestaraa):

so its a geometric sequence (the 3rd one?) @DanJS

OpenStudy (danjs):

geometric , yes

OpenStudy (danjs):

growing "geometrically" (or "exponentially")

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