Question

Find the geometric sequence with three means between 1/6 and 1/486

Answer 1

PLEASE HELP

Answer 2

Also this is my first time using this site, so sorry if I do something wrong

Answer 3

you mean with three terms?

Answer 4

Yes

Answer 5

1/6, 1/54, 1/486 and the ratio is 1/9

Answer 6

No its 5 terms in all, you have to find 3 of them

Answer 7

So like 1/6,___,____,____,1/486

Answer 8

Anybody???

Answer 9

let say the ratio is r (which we will determined later). Then to get 1/486, we need to multiply 1/6 with r four times. Or (1/6)r^2=1/486. Now try to solve for r

Answer 10

sorry \(\frac{1}{6}r^4=\frac{1}{486}\)

Answer 11

So r=about 1/3?

Answer 12

Or am I lost?

Answer 13

yes, excellent!
Now how to use that information to get your sequence?

Answer 14

You sub in 1/3 for r?

Answer 15

Got it! Thanks for the help :)