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How to Calculate Arithmetic Sequence

Find any term and sum of an arithmetic sequence.

The Formula

aₙ = a₁ + (n-1)d

The arithmetic sequence formula uses the mathematical relationship: aₙ = a₁ + (n-1)d. Each variable in the formula represents a measurable quantity that affects the final result.

Step-by-Step Method

  1. 1Identify all input values needed for the arithmetic sequence calculation.
  2. 2Substitute your known values into the formula: aₙ = a₁ + (n-1)d.
  3. 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
  4. 4Check that your result has the correct units and is within a reasonable range.
  5. 5Verify using the interactive Arithmetic Sequence Calculator to confirm your answer.

Related Topics

arithmetic sequenceseriesmath

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