Write a possible explicit rule for each sequence, and find the 10th term.

16, 4, 1, 1/4, 1/16

I know that the recursive formula is $\displaystyle a_n = 1/4a_n-1$, but I don't know how to make an explicit formula.

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- May 24th 2010, 05:16 PMbfbcool2Help with Explicit Sequence Formula
Write a possible explicit rule for each sequence, and find the 10th term.

16, 4, 1, 1/4, 1/16

I know that the recursive formula is $\displaystyle a_n = 1/4a_n-1$, but I don't know how to make an explicit formula. - May 24th 2010, 05:25 PMGusbob
- May 24th 2010, 07:30 PMbfbcool2
I figured it out.

The formula is $\displaystyle A_n = 1/4^(n-1) +16$

N = the Sequence number (1, 2, 3, 4, etc.) - May 24th 2010, 07:33 PMharish21
$\displaystyle a_n = 4^{3-n}$

for n = 1,2,....