SOLUTION: What is the nth term for the following sequence: 0.1, 0.01, 0.001, 0.0001, ...

Question 1182228: What is the nth term for the following sequence:
0.1, 0.01, 0.001, 0.0001, ...
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

As common fractions, the sequence is

1/10, 1/100, 1/1000, ..., which is

1/(10^1), 1/(10^2), 1/(10)^3, ...

So the n-th term is

ANSWER:

OR...

As exponentials, the sequence is

10^(-1), 10^(-2), 10^(-3), ...

So the n-th term can also be written as

ANSWER:

Either form should be equally acceptable.

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