Geometric Sequence Calculator
Find any term and the running total of a geometric sequence from its first term and common ratio. Enter first term, common ratio and term number to…
8 of 8 free uses remaining today
Find any term and the running total of a geometric sequence from its first term and common ratio. Enter first term, common ratio and term number to see nth term and sum of first n terms when you calculate.
Worked example
Example calculated from the starting values. Enter your own values and press Calculate to get your result.
With the default inputs (first term = 2, common ratio = 3, term number = 8), the results are: nth term 4,374.0000; sum of first n terms 6,560.0000.
Quick reference: first term vs result
Reference table based on the example values; it is not your calculation result.
| First term | nth term | Sum of first n terms |
|---|---|---|
| 1 | 2,187.0000 | 3,280.0000 |
| 2 | 4,374.0000 | 6,560.0000 |
| 4 | 8,748.0000 | 13,120.0000 |
| 10 | 21,870.0000 | 32,800.0000 |
| 20 | 43,740.0000 | 65,600.0000 |
| 40 | 87,480.0000 | 131,200.0000 |
Frequently asked questions
What formula does this calculator use?
nth term = a1 × pow(r,n-1); Sum of first n terms = a1 × (1-pow(r,n)) ÷ (1-r). Variables: a1 = first term, r = common ratio, n = term number.
What do I need to enter?
You need first term, common ratio, term number. Results update as you type.
What is an example result?
With the default inputs (first term = 2, common ratio = 3, term number = 8), the results are: nth term 4,374.0000; sum of first n terms 6,560.0000.
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