Number Sequence Calculator
Enter the first term, common difference (for arithmetic) or ratio (for geometric), and the number of terms to generate the sequence.
Select Sequence Type
Steps for Calculation
- Input Values:
- Enter the first term of the sequence (e.g.,
1). - Enter the common difference (for arithmetic sequences) or common ratio (for geometric sequences) (e.g.,
2). - Enter the number of terms you want in the sequence (e.g.,
5).
- Enter the first term of the sequence (e.g.,
- Select Sequence Type:
- Choose the type of sequence from the dropdown menu:
- Arithmetic Sequence: Adds the common difference to each term.
- Geometric Sequence: Multiplies each term by the common ratio.
- Choose the type of sequence from the dropdown menu:
- Generate Sequence:
- Click the Generate Sequence button to calculate the sequence.
- View Result:
- The generated sequence will be displayed below the button.
Detailed Description
- Arithmetic Sequence:
- An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant.
- Formula: an=a1+(n−1)⋅dan=a1+(n−1)⋅d, where:
- anan = nth term,
- a1a1 = first term,
- dd = common difference,
- nn = term number.
- Example: For a1=1a1=1, d=2d=2, and n=5n=5, the sequence is:
1, 3, 5, 7, 9.
- Geometric Sequence:
- A geometric sequence is a sequence of numbers where the ratio between consecutive terms is constant.
- Formula: an=a1⋅r(n−1)an=a1⋅r(n−1), where:
- anan = nth term,
- a1a1 = first term,
- rr = common ratio,
- nn = term number.
- Example: For a1=1a1=1, r=2r=2, and n=5n=5, the sequence is:
1, 2, 4, 8, 16.
