At the north campus of a performing arts​ school, 60​% of the students are music majors. At the south​ campus, 20​% of the students are music majors. The campuses are merged into one east campus. If 36​% of the 1500 students at the east campus are music​ majors, how many students did each of the north and south campuses have before the​ merger?

i got 10.28 but that rounds up to 10.3

, 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