a school community has planned to reduce the number of grade 9 students per class room by constructing additional class rooms. however, they constructed 4 less rooms than they planned. as the result, the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school determine the current number of class rooms and the number of students per class​

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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

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