A school district has $6,588 to spend on new chairs. If each chair is $36, how many chairs will the district be able to buy?

183 chairs

Step-by-step explanation:

 183

Step-by-step explanation:

Let x be the maximum number of chairs they will be able to buy.

36x ≤ 6,588

x ≤ 183

They will be able to buy 183 chairs.

, 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