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Someone help me find the recursive and iterative rules for these sequences? Geometric Sequence: 4, 8, 16, 32, 64,... (Representing a population of bacteria that doubles every hour; initial population of 4.) Arithmetic Sequence: 50, 54, 58, 62, 66,... (Representing a toll booth that charges $4 per car with an initial amount of $50 in their cash register.)
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iterative rule like \(a_1=2, a_n=2a_{n-1}\) ?
actually for your first example it would be exactly that, only with \(a_1=4\)
i think that is what it means, does that sound right? the rule would be \[a_1=4,a_n=2\times a_{n-1}\]
second one is similar, but with addition \[a_1=50,a_n=a_{n-1}+4\]
Yep! That sounds perfect! Thanks!
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yw
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