Geometric sequences worksheet
Each term is the one before times a fixed ratio, so the terms grow or shrink fast. The exponent is again one less than the term number.
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Pick more than one for a sheet that mixes them.
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Sigma Prep · sigmaprep.io/worksheets Name Geometric SequencesDate Period Answer each question.
Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep |
Sigma Prep · sigmaprep.io/worksheets Name Geometric SequencesAnswer keyVersion 1Date Period Answer each question.
Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep |
How to do these
Find the 6th term:
- Each term doubles, so the ratio is 2.
- The 6th term is 5 times 2 to the fifth.
The answer is .
Where students go wrong
Using the term number as the exponent. The sixth term uses 2 to the fifth, not the sixth, for the same reason arithmetic sequences take one step fewer than you expect.
Also called common ratio or nth term of a geometric sequence.