Construct linear and exponential functions, including arithmetic/geometric sequences, from graphs, descriptions, or input-output pairs.
Construct a recursive geometric sequence rule
Problem
Construct the recursive geometric-sequence rule when the first term is \(5\) and each term is tripled.
Big Picture
What this problem is really about
A recursive geometric rule needs a starting term and a multiplicative update that acts on the preceding term. We’ll translate the given first value into the initial condition and the word tripled into a common ratio, keeping the two roles separate. Generating the next two terms will verify that the recurrence multiplies rather than adds.
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