Thread: Help 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 , but I don't know how to make an explicit formula.

Originally Posted by bfbcool2

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 , but I don't know how to make an explicit formula.

A term in a geometric series is given by:

where a is the first term, and r is the ratio between any two consecutive terms. You have already found the ratio in your recursive formula.

I figured it out.

The formula is

N = the Sequence number (1, 2, 3, 4, etc.)

for n = 1,2,....