Marc pays $56 semimonthly for health insurance which is 15% of the total cost. His employer pays the rest. What is the total cost to the nearest dollar of Marc’s health insurance?

, 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

if you was gonna solve for a, a is a   < -12

ratio is 2 : 9

the answer is three

13.5 : 3