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Mathematics 16 Online
OpenStudy (anonymous):

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

OpenStudy (anonymous):

OpenStudy (anonymous):

an = 8(one half)n − 2; average rate of change is −6 an = 10(one half)n − 2; average rate of change is 6 an = 8(one half)n − 2; average rate of change is 6 an = 10(one half)n − 2; average rate of change is −6

OpenStudy (anonymous):

omg marry me? :DDDD

OpenStudy (anonymous):

@aum ?

OpenStudy (aum):

Well, the answer is obvious but I am having trouble figuring it out the way to explain it so it is easy to understand.

OpenStudy (anonymous):

is it the first one?

OpenStudy (aum):

As we increase x in steps of one going from 2 to 3 to 4, the corresponding y-value keeps getting half of the previous value. So y = A(1/2)^(x+B). We just need to put two points from the graph, say, (2,8) and (3,4) to figure out A and B. A = 8, B = -2. So y = 8(1/2)^(x-2) or an = 8(1/2)^(n-2)

OpenStudy (anonymous):

so it's an = 8(one half)n − 2; average rate of change is −6

OpenStudy (aum):

Average rate of change from n = 1 to n = 3 is: { a3 - a1 } / { 3 - 1 } = -6

OpenStudy (anonymous):

ty so much!

OpenStudy (aum):

yw.

OpenStudy (anonymous):

This was correct XD thankuuu

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