Problem 50 of 7
Translate the recursive arithmetic rule a_1 = 30; a_n = a_(n-1) - 2 into an explicit rule.
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connect repeated addition to linear form.
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Recursive rule must be arithmetic with clear starting index.
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Solution
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1. Identify the starting term and index.
2. Identify the common difference.
3. Write the linear explicit rule using the correct index shift.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Off-by-one conversion.