Problem 70 of 7
Translate the explicit arithmetic rule a_n = -6n + 1 for n starting at 0 into a recursive rule.
Using a hint is okay. It just tells the trainer to give you a little more review.
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extract first term and common difference.
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Explicit rule must be linear and sequence indexing must be clear.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Find the first term using the starting index.
2. Read the common difference from the coefficient of n.
3. Write the recursive rule from previous term plus difference.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Recursive rule with wrong first term due to index shift.