Find the tenth term of the geometric sequence: 1,3,9,….

Find the 10th term of the geometric sequence: 1,3,9,….

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Geometric sequences have a common ratio which is being multiplied by, each time the sequence jumps from term to term.

To get the common ratio, divide backwards:
9 ÷ 3 = 3
3 ÷ 1 = 3
The common ratio is 3.

To get the 10th term, start with the first term, 1, and multiply by 3, nine times:

The tenth term is 19,683

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