Acollege student has finished 52 credit hours with a gpa of 2.8. to get into the program she wishes to enter, she must have a gpa of 3.2. how many additional credit hours of 4.0 work will raise her gpa to 3.2?

.19875994384

step-by-step explanation:

1699/ 8548

, 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