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Chapter 5: Problem 133
A board \(7 \frac{1}{2}\) inches long is cut from a board that is 2 feet long. If the width of the saw cut is \(\frac{1}{16}\) inch, what is the length of the remaining piece?
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Determine whether each sequence is arithmetic or geometric. Then find the next two terms. \(\sqrt{5}, 5,5 \sqrt{5}, 25, \ldots\)
Write a formula for the general term (the nth term) of each geometric sequence. Then use the formula for \(a_{n}\) to find \(a_{7}\), the seventh term of the sequence. \(3,12,48,192, \ldots\)
Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=\frac{1}{4}, r=2\)
Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=1000, r=1\)
Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=20, r=-4\)
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