Arithmetic Sequence Calculator
Arithmetic Sequence Formulas
An arithmetic sequence (or progression) is a sequence of numbers such that the difference between consecutive terms is constant. This constant is called the common difference (d).
Key Formulas:
- N-th Term (aₙ): To find any term in the sequence.
\(a_n = a_1 + (n-1)d\) - Sum of the First n Terms (Sₙ): To find the sum of a part of the sequence.
\(S_n = \frac{n}{2}(a_1 + a_n)\)
or
\(S_n = \frac{n}{2}(2a_1 + (n-1)d)\)
This calculator can solve for any of the variables (\(a_n, S_n, a_1, d, n\)) if you provide the others.
Disclaimer: This calculator is for educational purposes.
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Solves for any missing value in an arithmetic sequence.
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