Posted on April 25, 2022 (Updated on July 9, 2025)

What is the recursive formula for geometric sequence?

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Recursive formula for a geometric sequence is an=an−1×r , where r is the common ratio.

What is a recursive geometric sequence?

A recursive formula allows us to find any term of a geometric sequence by using the previous term. Each term is the product of the common ratio and the previous term. For example, suppose the common ratio is 9. Then each term is nine times the previous term.

What is the formula for geometric sequences?

The explicit formula for a geometric sequence is of the form an = a1r–1, where r is the common ratio. A geometric sequence can be defined recursively by the formulas a1 = c, an+1 = ran, where c is a constant and r is the common ratio.

How do you write a recursive formula?

Video quote: If you put six in for n. You've. Got the value of a sub six is a sub. Six minus one which is a sub five which is this guy right plus four more so nineteen plus four takes you to twenty-three.