Razão PA (r)

The arithmetic sequence common difference (r) calculator determines the constant difference between consecutive terms. To use it, input two adjacent terms (a₁ and a₂), and the result will be r = a₂ − a₁. This calculation is essential for identifying arithmetic sequences and verifying their regularity.

The formula r = a₂ − a₁ works because, in an arithmetic sequence, the difference between adjacent terms remains constant. For example, in 2, 5, 8, 11..., r = 5 − 2 = 3 and also 8 − 5 = 3. If calculated values differ, the sequence is not arithmetic. This tool helps students check sequences or solve basic math exercises.

Use this calculator when verifying numerical sequences or finding the common difference (r) from two terms. It's commonly applied in arithmetic sequence problems, such as predicting the next term or validating sequence properties. Note that r depends only on term values, not their positions in the sequence.

Important: the calculator assumes terms are correctly ordered. If a₂ is smaller than a₁, the result will be negative, indicating a decreasing sequence. For non-arithmetic sequences, repeated calculations with different term pairs may reveal inconsistencies. Always confirm with at least three terms for accuracy.