Enrollment at the local middle school was 845. Then n new students came to the school. Enrollment is now 986. Which
equation can be used to determine the number of new
students?
a
n =
986 +845
845 + n = 986
b
n - 986 = 845
845 = n +986

, 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

its adding 5.5 each time

step-by-step explanation: