Question

The sequence an = one half(2)^n − 1 is graphed below

Find the average rate of change between n = 2 and n = 4.

Answer 1

@jim_thompson5910 sorry :( you're the only one who seems to be online

Answer 2

what is a2?

Answer 3

I'm not sure what you mean

Answer 4

what happens when you plug n = 2 into the given sequence

Answer 5

I dont know :(

Answer 6

alternatively, since this is already graphed for you, you can find the slope through (2,1) and (4,4)

Answer 7

since those points represent when n = 2, n = 4

Answer 8

oh okay, so i find the slope?

Answer 9

yes through those two points

Answer 10

3/2

Answer 11

that's my answer

Answer 12

yes it is

Answer 13

thank you! one more?

Answer 14

sure

Answer 15

Given the arithmetic sequence an = 2 − 5^(n + 1), what is the domain for n?
I know its the same concept as the other one, idk why i can't get it

Answer 16

that's not arithmetic, did you mean an = 2 − 5(n + 1)

Answer 17

Oh yeah sorry

Answer 18

same idea as a geometric sequence

Answer 19

the domain is the set of positive whole numbers

Answer 20

although this arithmetic sequence is still odd...hmm

Answer 21

I got confused cause one of the answers says All integers where n ≥ 2

Answer 22

what else are you given

Answer 23

All real numbers

All integers where n ≥ 1

All integers where n > 1

All integers where n ≥ 2

Answer 24

So most likely All integers where n ≥ 1 because again, it's the counting numbers or natural numbers

Answer 25

Okay, thank you very much :)

Answer 26

you're welcome