Problem 76 of 7
Translate the recursive geometric rule a_1 = 7; a_n = 4a_(n-1) into an explicit rule.
Using a hint is okay. It just tells the trainer to give you a little more review.
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connect repeated multiplication to exponential form.
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Recursive rule must be geometric with clear starting index and ratio.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Identify starting term and common ratio.
2. Use exponent n - 1 for a_1 starts, or n for a_0 starts.
3. Write a_n as starting term times ratio to the appropriate power.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Off-by-one exponent.