Sarah is collecting recyclables for a science project. on the first day she collects 35 recyclable objects. on the second day she has a total of 52 recyclables. on the third day she has a total of 69 recyclables. determine if the scenario describes an arithmetic or a geometric sequence. then, write the recursive formula for the sequence described.

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Mathematics

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7 July, 18:47

Sarah is collecting recyclables for a science project. on the first day she collects 35 recyclable objects. on the second day she has a total of 52 recyclables. on the third day she has a total of 69 recyclables. determine if the scenario describes an arithmetic or a geometric sequence. then, write the recursive formula for the sequence described.

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Shaun · Answer 1

The scneario here expressed is an aritmetic sequence because it can be explained like this:

a1 = 35

an = a n-1 + 17

So all the variables can fit in and will be better explained than a geometric sequence in which you need a common ratio and that is not needed in this case