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Chapter 14: Problem 21
Find each indicated sum. $$\sum_{k=1}^{5} k(k+4)$$
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Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. The sequence for the number of seats per row in our movie theater as the rows move toward the back is arithmetic with \(d=1\) so people don't block the view of those in the row behind them.
Use the formula for the sum of the first n terms of a geometric sequence to solve. You save \(\$ 1\) the first day of a month, \(\$ 2\) the second day, \(\$ 4\) the third day, continuing to double your savings each day. What will your total savings be for the first 30 days?
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Give examples of two different arithmetic sequences whose fourth term, \(a_{4},\) is 10
Factor: \(27 x^{3}-8\) (Section 6.4, Example 8)
Find a general term, \(a_{n},\) for each sequence. More than one answer may be possible. $$1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \dots$$
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