I need to make up some real-world scenarios for the following types of sequences: arithmetic and geometric. Once I have an arithmetic sequence made up, I must find the common difference and write a recursive and iterative rule. Once I have a geometric sequence made up, I must find the common ratio and then write the recursive and iterative rules. I just need help coming up with real-world scenarios, and I know how to find the common differences and ratios, but I also need help writing the recursive and iterative rules.

geometric- bacteria multiplying every hour?

arithmetic- toll booth?

So, I'm going to make it a bacteria whose population multiplies by two every hour for the geometric sequence, with a beginning population of 4, and carry the sequence for five terms (4, 8, 16, 32, 64,...). And for the arithmetic sequence, I'll make it a toll booth that costs $4 for each 2-axle vehicle (assume that no vehicles with more than 2-axles travel this road), and the initial amount of money the person in the toll booth works with was $50. The sequence would be 50, 54, 58, 62, 66,... increasing by $4 for each car that goes through the toll. Does that sound good?

seems fine

I just don't know how to find the recursive and iterative rules...

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