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Chapter 14: Problem 38
Express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. $$\frac{1}{3}+\frac{2}{4}+\frac{3}{5}+\dots+\frac{16}{16+2}$$
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Many graphing utilities have a sequence-graphing mode that plots the terms of a sequence as points on a rectangular coordinate system. Consult your manual; if your graphing utility has this capability, use it to graph each of the sequences in Exercises \(69-72 .\) What appears to be happening to the terms of each sequence as \(n\) gets larger? $$a_{n}=\frac{100}{n} ; n:[0,1000,100] \text { by } a_{n}:[0,1,0.1]$$
Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. Beginning at 6: 45 A.M., a bus stops on my block every 23 minutes, so I used the formula for the \(n\) th term of an arithmetic sequence to describe the stopping time for the \(n\) th bus of the day.
Solve for \(P: A=\frac{P t}{P+t}\)
Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. One of the terms in my binomial expansion is \(\left(\begin{array}{l}7 \\\ 5\end{array}\right) x^{2} y^{4}\).
Solve: \(2 x^{2}=4-x\).
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