Learning Materials
Features
Discover
Chapter 12: Q 68. (page 809)
In Problems 61–70, express each sum using summation notation.
The required summation notation is
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Environmental Control: The Environmental Protection Agency (EPA) determines that Maple Lake has 250 tons of pollutants as a result of industrial waste and that 10% of the pollutant present is neutralized by solar oxidation every year. The EPA imposes new pollution control laws that result in 15 tons of new pollutant entering the lake each year. The amount of pollutant in the lake at the end of each year is given by the recursively defined sequence
(a) Determine the amount of pollutant in the lake at the
end of the second year. That is, determine p2 .
(b) Using a graphing utility, provide pollutant amounts for
the next 20 years.
(c) What is the equilibrium level of pollution in Maple
Lake? That is, what is localid="1646823556776" ?
In Problems 51–60, write out each sum.
In Problems 29–36, the given pattern continues. Write down the nth term of a sequence suggested by the pattern.
In Problems 61–70, express each sum using summation notation.
Fibonacci Sequence: Let
define the nth term of a sequence.
(a) Show that u1= 1 and u2 = 1.
(b) Show that un+2 = un+1 + un.
(c) Draw the conclusion that {un} is the Fibonacci sequence.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App