Geometric Sequence Calculator
Find the nth term, the sum of n terms and the infinite sum of a geometric sequence.
Term 8 (aₙ)
4374
- Sum of the first 8 terms
- 6560
- Infinite sum
- Diverges (|r| ≥ 1)
- Terms
- 2, 6, 18, 54, 162, 486, 1458, 4374
Show the work
Ratio to the power n − 1
r to the power of n − 1
3 to the power of 7 = 2187
Times the first term
an = a1 × r to the power of n − 1
2 × 2187 = 4374
How it works
aₙ = a₁ × r^(n − 1); Sₙ = a₁(1 − rⁿ) ÷ (1 − r); infinite sum = a₁ ÷ (1 − r) when |r| < 1
Questions
- How does the geometric sequence calculator work?
- aₙ = a₁ × r^(n − 1); Sₙ = a₁(1 − rⁿ) ÷ (1 − r); infinite sum = a₁ ÷ (1 − r) when |r| < 1.
- What do I need to enter?
- First term (a₁), Common ratio (r), Term number (n). Optional fields can be left blank.
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