Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
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
omg marry me? :DDDD
@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.
is it the first one?
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)
so it's an = 8(one half)n − 2; average rate of change is −6
Average rate of change from n = 1 to n = 3 is: { a3 - a1 } / { 3 - 1 } = -6
ty so much!
yw.
This was correct XD thankuuu
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