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Chapter 12: Q 68. (page 809)
In Problems 61鈥�70, express each sum using summation notation.
The required summation notation is
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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" ?
Education IRA: On January 1, 1999, John鈥檚 parents decided to place \(45 at the end of each month into an Education IRA.
(a) Find a recursive formula that represents the balance at the end of each month if the rate of return is assumed to be 6% per annum compounded monthly.
(b) How long will it be before the value of the account exceeds \)4000?
(c) What will be the value of the account in 16 years when John goes to college?
In Problems 51鈥�66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.
In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.
In Problems 51鈥�60, write out each sum.
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