Sequência Aritmética: aₙ

This calculator finds the nth term aₙ of an arithmetic progression (AP). Enter the first term a₁, the common difference r, and the position n, and it computes the term value. The formula is aₙ = a₁ + (n−1)·r, where each term is the previous one plus a constant. It is ideal for solving sequence problems in basic math, entrance exams, and contests.

How it works: input a₁, r, and n, then click calculate. The calculator applies the formula and shows the term. For example, with a₁=5, r=3, and n=10, the result is 5 + 9×3 = 32. This tool can also check homework or plan sequences in practical contexts like task scheduling.

Use this calculator when you need a specific term of an AP, for homework, test prep, or applications in finance (simple interest) and engineering. Note that r can be positive (increasing), negative (decreasing), or zero (constant). The calculator handles real numbers, including decimals and negatives.

Cautions: ensure n is a positive integer (term position). Non-integer n may produce meaningless results. Also, verify the formula when r is negative, the term may decrease. For long sequences, this tool avoids manual calculation errors.