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# How to write nth term expressions

## What is the nth term for the sequence 1, 4, 9, 16, 25? | Socratic

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### Geometric Sequences - nth Term

This is a surprising formula since it involves square roots and powers of Phi an irrational number but it always gives an integer for all integer values of n! Sometimes these inaccuracies will make numbers round to the wrong values. You should be suspicious of large numbers that end with 0 because this could indicate a loss of some of the final digits. Only the left-hand digits of a large number are correct -- the question is just how many!
We have seen that functions are a method of abstraction that describe compound operations independent of the particular values of their arguments. That is, in square ,. Of course, we could get along without ever defining this function, by always writing expressions such as.

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