researchers are going to collect data from a sample of 100 penn state world campus students. they will call each student to ask how many hours they slept last night and they will ask each student for their gpa (scale of 0 to 4.0).

1. is this an observational or experimental research study? explain how you

, 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