Question

The sequence is geometric. What is the next term?
12, 24, 48, 96,...

Answer 1

your common ration is 2, so you would multiply 96 by 2 to get 192

Answer 2

okay so its 192 ?

Answer 3

then what

Answer 4

to find the common ratio, you pick any term (say 48) and divide it by the previous term (24) to get 48/24 = 2

Answer 5

so my guess is
an = -1(3)n-1 but im not sure

Answer 6

i might have done it wrong

Answer 7

wait my bad. You would use geometric sequence formula to plug in

Answer 8

am i close?

Answer 9

because my answer was
an = -1(3)n-1

Answer 10

uhh i think I'm using a different formula?

I used \[a_n=a_1r^n\]

Answer 11

so a1=12 because that's your first term and r is your ratio.

Answer 12

yeah i just didnt know how to put the n below the a and the n-1 above

Answer 13

okay

Answer 14

an = 3(-1)^n-1 ???

Answer 15

????

Answer 16

allie22 what's the sequence again?

Answer 17

12, 24, 48, 96,...

Answer 18

what is the first term

Answer 19

12

Answer 20

what is the common ratio

Answer 21

;O idk!

Answer 22

pick any term and divide it by the previous term

Answer 23

that will get you the common ratio

Answer 24

6

Answer 25

idk i divided it by 2, this is confusing lol

Answer 26

say you picked the second term 24

divide it by the previous term 12 to get 24/12 = 2

Answer 27

the common ratio is 2

Answer 28

ohhh okay

Answer 29

first term: a = 12
common ratio: r = 2

Answer 30

so that means

\[\large a_{n} = a*(r)^{n-1}\]


\[\large a_{n} = 12*(2)^{n-1}\]

is the nth term formula

Answer 31

okay

Answer 32

plug in n = 1 and tell me what you get

Answer 33

an = 3(-1)^n-1

Answer 34

?

Answer 35

how are you getting that?

Answer 36

that's something completely different

Answer 37

wait let me try again

Answer 38

186 ?

Answer 39

what exactly are you looking for again?

Answer 40

no wait 288

Answer 41

what the next term is

Answer 42

in the sequence

Answer 43

oh all you do is multiply the last term by the common ratio 2

Answer 44

192

Answer 45

yep

Answer 46

but Rainie answered that already, so not sure where you're stuck