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# Assume that the population of the world in 2010 was 6.9 ISBN: 9780073383095 37

## Solution for problem 20E Chapter 2.4

Discrete Mathematics and Its Applications | 7th Edition

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Problem 20E

Assume that the population of the world in 2010 was 6.9 billion and is growing at the rate of 1.1% a year.a) Set up a recurrence relation for the population of the world n years after 2010.________________b) Find an explicit formula for the population of the world n years after 2010.________________c) What will the population of the world be in 2030?

Step-by-Step Solution:

Solution Step 1:Assume that the population of the world in 2010 was 6.9 billion and growing at the rate of 1.1% a year.Step 2:(a)set up a recurrence relation for the population of the world n years after 2010we have to set up a recurrence relation for the population of the world n years after 2010Since the growing rate 1.1% that is each year’s population is 1.1% greater than previous year,hence n years population will be n-1 populations multiplied by 1.011 So,we can write the recurrence relation asAnd population of the world in 2010 as (initial condition)

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##### ISBN: 9780073383095

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