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Mathematics 14 Online
OpenStudy (anonymous):

Find the first six terms of the sequence. a1 = 1, an = 4 • an-1

OpenStudy (anonymous):

@Mertsj

OpenStudy (mertsj):

\[a _{1}=1, a _{n}=4(a _{n}-1)\]

OpenStudy (mertsj):

Is that right?

OpenStudy (anonymous):

\[4*a _{n-1}\]

OpenStudy (anonymous):

The rest is correct.

OpenStudy (mertsj):

So the nth term is 4 times the previous term.

OpenStudy (anonymous):

Yes.

OpenStudy (mertsj):

So I guess it's a geometric sequence and the common ratio is 4

OpenStudy (anonymous):

Oh, I see. For some reason, my mind suddenly got stuck there.

OpenStudy (anonymous):

Is it: 1, 4, 16, 64, 256, 1024 ?

OpenStudy (mertsj):

I'd say so.

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