Geometric Progression Calculator
Calculate nth term and sum of geometric progression.
- Free Online Tool
- Instant Results
- Mobile Friendly
- No Installation
- Secure & Private
Understanding This Calculator
Geometric Progression Formulas
A GP is a sequence where each term is found by multiplying the previous term by a fixed number (common ratio).
nth Term (aₙ) = a × rⁿ⁻¹
Sum (Sₙ) = a(rⁿ - 1) / (r - 1)
Example 1
3, 6, 12, 24... (a=3, r=2)
- 5th Term: 3 × 2⁴ = 3 × 16 = 48
- Sum of 5 terms: 3(32 - 1) / (1) = 3 × 31 = 93
Example 2 (Infinite Sum)
1, 0.5, 0.25... (a=1, r=0.5)
- S∞ = 1 / (1 - 0.5) = 1 / 0.5 = 2
How to Use
- Enter first term (a).
- Enter common ratio (r).
- Enter number of terms (n).
Frequently Asked Questions
How do I use the Geometric Progression Calculator?
Enter your values in the input fields, and the result will appear instantly.
Is this calculator free to use?
Yes, this calculator is 100% free and does not require any registration or subscription.
Is it mobile-friendly?
Absolutely! Our tool is optimized for all devices, including mobile phones, tablets, and desktop computers.