The analysis of accidents which happen per year is the average of the

dictetzqh

dictetzqh

Answered question

2021-11-15

The analysis of accidents which happen per year is the average of the number of accidents which occurred in the 2 previous years
a) Calculate a recurrence relation for {An} where An is the number of accidents which happened in year x using the information given in the question above
b) Considering that three hundred thousand accidents occurred in year two and hundred thousand accidents occurred in year one, calculate the value for An
Note: Both questions asked are different.Kindly read carefully

Answer & Explanation

Alfonso Miller

Alfonso Miller

Beginner2021-11-16Added 20 answers

Step 1
Part (a)
Let An be the number of accidents happened in year x named as an and an1, an2 are the number of accidents that happened in two preceding two years.
Then according to question,
an=an1+an22
Therefore, the recurrence relation is an=an1+an22
Step 2
Part (b)
Substitute 300,00 for an1 and 100,000 for an2 in the equation
an=an1+an22
to calculate the value of an
an=300,000+100,0002
=200,000
Therefore, the value of an is 200,000

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?