Question

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.

Answer 1

Hmm, aritmetic means increase by a constant amount
geometric means multiply each term by a constant to get the next


hmm 35 to 52 is 17
52 to 69 is 17
so probably aritmetic

a term plus 17 equals the next term
or
f(n)=17+f(n-1)
or
f(n+1)=17+f(n)