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Chapter 8: Problem 74
Write an original problem that can be solved using the Fundamental Counting Principle. Then solve the problem.
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Determine whether each statement makes sense or does not make sense, and explain your reasoning. I modeled California's population growth with a geometric sequence, so my model is an exponential function whose domain is the set of natural numbers.
In the sequence \(21,700,23,172,24,644,26,116, \dots,\) which term is \(314,628 ?\)
Explain how to find the probability of an event not occurring. Give an example.
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the combinations formula to determine how many different four-note sound sequences can be created from the notes \(\mathrm{C}, \mathrm{D}, \mathrm{E}, \mathrm{F}, \mathrm{G}, \mathrm{A},\) and \(\mathrm{B}\)
Exercises \(85-87\) will help you prepare for the material covered in the next section. Use the formula \(a_{n}-a_{1} 3^{n-1}\) to find the seventh term of the sequence \(11,33,99,297, \dots\)
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