quentin has a secret. on the first day of school, he tells his closest friend. on the second day, they each tell the secret to someone else. each person that hears the secret shares the secret with a new person each day. Write an explicit rule for the number of students who know the secret by day n

i hope this is what you were looking for.

see attached graph

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

, 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