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Chapter 13: Problem 17
Evaluate each expression. $$ 4 ! \cdot 5 $$
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A growing community increases its consumption of electricity \(2 \%\) per yr. (a) If the community uses 1.1 billion units of electricity now, how much will it use \(5 \mathrm{yr}\) from now? Round to the nearest tenth. (b) Find the number of years (to the nearest year) it will take for the consumption to double.
A fully wound yo-yo has a string 40 in. long. It is allowed to drop, and on its first rebound it returns to a height 15 in. lower than its original height. Assuming that this "rebound ratio" remains constant until the yo-yo comes to rest, how far does it travel on its third trip up the string? Round to the nearest tenth.
Find the indicated term for each geometric sequence $$ \frac{2}{3}, \frac{1}{3}, \frac{1}{6}, \ldots ; \quad a_{18} $$
Use mathematical induction to prove that each statement is true for every positive integer value of \(n.\) $$3^{n}>n$$
Find the arithmetic mean for each set of values. $$ 2,1,4,8,3,7,10,8,0 $$
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