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Mathematics 13 Online
OpenStudy (anonymous):

What is the 9th term of this geometric sequence? 2/3, 2, 6, 18, 54, 162, ...

OpenStudy (danjs):

each is 3 times the last

OpenStudy (danjs):

2/3 * 3^(n-1)

OpenStudy (danjs):

let n = 9 for the 9th term

OpenStudy (anonymous):

4374

OpenStudy (danjs):

\[a _{n} = \frac{ 2 }{ 3 } * 3^{n - 1}\]

OpenStudy (anonymous):

is my answer right ?

OpenStudy (danjs):

i didnt calculate. lol hold on

OpenStudy (danjs):

yea

OpenStudy (anonymous):

ok (:

OpenStudy (anonymous):

thank you ! your such a big help

OpenStudy (danjs):

you can test by putting in a known value, like n = 4th term and see if it comes out to 18

OpenStudy (danjs):

(2/3) *3^(4-1)

OpenStudy (danjs):

true

OpenStudy (danjs):

so now you can find the 1,876,985th term!

OpenStudy (anonymous):

haha thank you !

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