Problem: A life insurance company is offering a $100,000 one-year life insurance policy to Jayne, who is a 54-year old nonsmoking female in good health. The probability that Jayne will survive the year is 0.998. You are hired by the insurance company to set a premium for this policy, what should be the premium be?

were is the equation

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

, 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