During the 2008-2009 school year, the average ratio of teachers to students in the public elementary and secondary schools was approximately 1 to 15. if a public school has 848 students, how many teachers would be at the school if the ratio was valid for that school? show work.

I believe the answer is 56

Step-by-step explanation:

848÷15

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for