In one classroom, exactly one-half of the seats are occupied. in another classroom with double the seating capacity of the first, exactly three-quarters of the seats are occupied. if the students from both rooms are transferred to a third, empty classroom that has a seating capacitu exactly equal to the first two combined, what fraction of the seats in the third classroom is occupied?
(a) 1/4 (b) 1/3 (c) 3/4 (d) 2/3 (e) 3/4

Rajid it is (e) 3/4 and please follow me I need a follower

I think the answer is e.
I hope it helps u.

What do you mean by that?

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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

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

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