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Yes, that's what a geometric sequence is about.
Recursive Form
A sequence usually has a position-to-value function. Alternatively, it can be derived from the recursive relationship that defines the sequence.
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
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