Arithmetic Sequence Calculator

Arithmetic Sequence Calculator - Calcoflare

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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