Geometric Sequence nth Term

The nth term of a geometric sequence is found by multiplying the first term (a_1) by the common ratio (r) raised to the power of one less than the term number (n - 1). A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Practically, such sequences can be seen in exponential growth or decay scenarios, like population growth, radioactive decay, or in financial calculations with compound interest.