Number Sequence Calculator
Calculate arithmetic, geometric, and Fibonacci sequences. Find the nth term, sequence sum, and generate sequences.
Arithmetic Sequence
Geometric Sequence
Fibonacci Sequence
Arithmetic Sequence
Formula
an = a1 + f × (n – 1)
Where:
- an is the nth term
- a1 is the first term
- f is the common difference
- n is the term number
Example
Sequence: 1, 3, 5, 7, 9, 11, 13, …
First term (a1) = 1
Common difference (f) = 2
10th term: 1 + 2×(10-1) = 19
Calculation Results
nth Term (an):
19
Sum of Sequence:
100
1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Geometric Sequence
Formula
an = a × rn-1
Where:
- an is the nth term
- a is the first term
- r is the common ratio
- n is the term number
Example
Sequence: 1, 2, 4, 8, 16, 32, 64, 128, …
First term (a) = 1
Common ratio (r) = 2
8th term: 1 × 27 = 128
Calculation Results
nth Term (an):
128
Sum of Sequence:
1023
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Fibonacci Sequence
Formula
F0 = 0, F1 = 1
Fn = Fn-1 + Fn-2
Where:
- Fn is the nth Fibonacci number
- F0 = 0
- F1 = 1
Example
Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …
10th term: 34
Calculation Results
nth Term (Fn):
34
Sum of Sequence:
88
0, 1, 1, 2, 3, 5, 8, 13, 21, 34
How to Use This Calculator
- Switch between tabs to select the sequence type (Arithmetic, Geometric, or Fibonacci)
- Enter the required parameters for your sequence
- Click “Calculate” to see the nth term, sum, and full sequence
- Adjust the sequence length to generate more or fewer terms
- Use “Reset” to clear inputs and results for the current tab