a_n = a_1 \times r^{n-1}

Sun, 03 May 2026 07:24:44 +0000

Understanding the Geometric Sequence Formula: aₙ = a₁ × rⁿ⁻¹ When studying sequences in mathematics, one of the most fundamental and widely used formulas is the geometric sequence formula, expressed as: aₙ = a₁ × rⁿ⁻¹ This formula helps define terms in a geometric progression—a sequence where each term after the first is found by multiplying the previous term by a constant called the common ratio, denoted by r. Whether in finance, science, computer algorithms, or geometry, this formula plays a crucial role.