Aschool choir has 36 members. there are three times as many underclass men as seniors. how many seniors are in the choir ?

9

Step-by-step explanation:

Let x represent the number of seniors in the choir.

We have been given that there are three times as many underclass men as seniors, so number of underclass men in choir would be .

We are also told that the school choir has 36 members. We can represent this information in an equation as:

Therefore, there are 9 senior in the choir.

, 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