Homework Help: check!

Posted by ben! on Thursday, October 19, 2006 at 12:26pm.

Write a recursive formula that generates the terms of the following:
. . .1, 3, 9, 27

my answer:
t1=1, n>2 --> tn= 3tn-1

is this correct?

Let's test
You have the sequence 1, 3, 9, 27 ...
You wrote
t₁=1, n>2 => t_n= 3t_n-1
What is t₂? It's undefined so I don't know how to continue.
I think you're supposed to observe that the sequence is powers of 3
1=3⁰, 3¹, 3², 3³, ...
Let t₁=1 and t_n=3t_n-1
Try that and see if it works.

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