Geometric Sequence (Term and Sum) Calculator
Calculate the nth term and the sum of a geometric sequence.
Result
39.366
10th term: 39.366 · Sum: 59.048
Result in all units
Step-by-step solution
aₙ = a₁ · rⁿ⁻¹
What Is a Geometric Sequence?
A geometric sequence is one in which the ratio between consecutive terms is constant. This constant ratio is called the common ratio and is related to compound growth.
How is it calculated?
How Is It Calculated?
aₙ = a₁ × rⁿ⁻¹
- Enter the first term, the common ratio (r) and the number of terms.
- Each term is r times the previous one.
Frequently Asked Questions
What happens if the common ratio is less than 1?
The terms gradually get smaller; the sequence is a decreasing geometric sequence.