Question

.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

Answer 1

@satellite73

Answer 2

that is a lot of words
let me see if i can figure them out

Answer 3

Okay c:

Answer 4

pattern is pretty clear right?
\[8,4,2,1,...\] you are dividing by 2 each time
so since you have \((2,8)\) on the graph, it is a good guess that \((1,16)\) is on there also even though you don't see it

Answer 5

Oh, Yeah. So i know the rate of change formula so do i d. \[\frac{ 4-16 }{ 3-1 }\]

Answer 6

zactly

Answer 7

That would be -12/2. Which would be -6. ;o so its either A or D.

Answer 8

you could probably have guessed that is was negative anyways, since it is going down
right , that leaves A, D

Answer 9

without doing any more work you can probably guess it is A since there is not \(10\) involved with this, but we can check that it is right

Answer 10

Oh, Thaaank you c:

Answer 11

\[a_n=8\times \left(\frac{1}{2}\right)^{n-2}\] if say \(n=3\) then you get
\[a_3=8\times \left(\frac{1}{2}\right)^{3-2}=8\times \left(\frac{1}{2}\right)^1=8\times \frac{1}{2}=4\]

Answer 12

yw

Answer 13

Oh, that makes sense :3

Answer 14

works for the others as well