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.

1). Arithmetic mean

2). Recursive formula:

Step-by-step explanation:

Sarah is collecting recyclables for a science project. On day 1 she collects 35 recyclable objects, on day 2 she collected 52 and on day 3 she collected 69 recyclables.

So, sequence of recyclable objects formed was 35, 52, 69 .........

If this sequence is an arithmetic sequence then each successive term will have a common difference and if it's a geometric sequence then there will be a common ratio in each successive term.

Now common difference =

52 - 35 = 17

69 - 52 = 17

Therefore, it's an arithmetic sequence.

Now we know the recursive formula of an arithmetic sequence is

Here d = 17

So, recursive formula will be

3000000000000000000000