Then each term is nine times the previous term. For example, suppose the common ratio is 9. Explicit Formula used to find the nth term of the geometric sequence in which the common ratio and 1st term are known. Converting recursive & explicit forms of geometric sequences. Explicit formulas for geometric sequences. Each term is the product of the common ratio and the previous term. Recursive formulas for geometric sequences. A recursive formula allows us to find any term of a geometric sequence by using the previous term. ![]() For example, suppose the common ratio is 9. 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. Using Recursive Formulas for Geometric Sequences. Using Recursive Formulas for Geometric Sequences A recursive formula allows us to find any term of a geometric sequence by using the previous term.
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