![]() ![]() Each term is the product of the common ratio and the previous term. ![]() Therefore, a convergent geometric series 24 is an infinite geometric series where \(|r| < 1\) its sum can be calculated using the formula:īegin by identifying the repeating digits to the right of the decimal and rewrite it as a geometric progression. Recursive functions, such as those in arithmetic, geometric, and Fibonacci sequences, play a pivotal role in mathematics and real-world applications. Sal finds an explicit formula of a geometric sequence given the first few terms of the sequences. A recursive formula allows us to find any term of a geometric sequence by using the previous term.
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