help with graphing sequences and series

Question

anonymous · Answer

attachment

anonymous · Answer

@mathnoobie10 @agent0smith @amistre64

amistre64 · Answer

avg rate of change is the slope between 2 points

anonymous · Answer

yes i know, but the "n=" throws me off. for the first one, is it just x=1, x=3?

amistre64 · Answer

$$\frac{27(1/3)^{1-1}-27(1/3)^{3-1}}{1-3}$$

amistre64 · Answer

a sequences is a discrete function, by convention the variable n is used to denote a discrete function as opposed to x.

anonymous · Answer

that equals -12 i think

anonymous · Answer

i know that but all of the sequence formulas throw me off, i dont understand them

amistre64 · Answer

i get -12 too, maybe its asking for the average slope from point to point which is just kinda wierd

amistre64 · Answer

slope is -7 from 2 to 3

and -18 from 1 to 2

-25/2 is still about -12

amistre64 · Answer

yeah, i got no idea what its asking for now :/

amistre64 · Answer

modeling, try the stated points and see what matches

anonymous · Answer

What...? >.<

amistre64 · Answer

27/3 = 9 so the first 2 fail ... we want a n=2, to give us a 1

amistre64 · Answer

$$\frac{1}{3}3^{2-1}=1$$
the point 2,1 fits that one to me

anonymous · Answer

what confuses me is how the coordinates are even there... how do they get them and how do they correspond with the question? if it's direct, we have 4,1 and 3, 3. which is -2 as a slope

amistre64 · Answer

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