The analysis of accidents which happen per year is the average of the number of accidents  which occurred in the 2 previous years

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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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

Expert Solution
Step 1

Recurrence relations: An equation that allow us to compute the nth term of a sequence from preceding terms.

 

Part (a)

Let An be the number of accidents happened in year named as an and an-1,an-2 are the number of accidents that happened in two preceding two years.

Then according to question,

an=an-1+an-22

 

Therefore, the recurrence relation is an=an-1+an-22.

 

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