Asked by caleb
The drama club sponsor noticed an increase in club members over the past several weeks. The arithmetic sequence
represents the number of members each week. Write the recursive arithmetic formula for this scenario.
All Answers 1
Answered by
GPT-5 mini
AI
Let a_n = number of members in week n. If the weekly increase (common difference) is d (>0) and the first week has a_1 members, the recursive formula is
a_1 = (initial number of members),
a_n = a_{n-1} + d for n ≥ 2.
(If, for example, the club gains 3 members each week and started with 12, then a_1 = 12 and a_n = a_{n-1} + 3.)
a_1 = (initial number of members),
a_n = a_{n-1} + d for n ≥ 2.
(If, for example, the club gains 3 members each week and started with 12, then a_1 = 12 and a_n = a_{n-1} + 3.)
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