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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 12: Q 20. (page 808)

In Problems 17鈥�28, write down the first five terms of each sequence.
$\{b_{n}\} = \{\frac{2 n + 1}{2 n}\}$

Short Answer

Expert verified

The first five terms of the given sequence are $\frac{3}{2}, \frac{5}{4}, \frac{7}{6}, \frac{9}{8}, \frac{11}{10}$

Step by step solution

01

Step 1. Write the given information.

The given sequence is $\{b_{n}\} = \{\frac{2 n + 1}{2 n}\}$

02

Step 2. Find the next five terms.

To find the five terms in the sequence we substitute $1, 2, 3, 4 a n d 5 i n t o n .$

role="math" localid="1646716932783" $\{b_{1}\} = \frac{2 路 1 + 1}{2 路 1} = \frac{3}{2} \{b_{2}\} = \frac{2 路 2 + 1}{2 路 2} = \frac{5}{4} \{b_{3}\} = \frac{2 路 3 + 1}{2 路 3} = \frac{7}{6} \{b_{4}\} = \frac{2 路 4 + 1}{2 路 4} = \frac{9}{8} \{b_{5}\} = \frac{2 路 5 + 1}{2 路 5} = \frac{11}{10}$

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Most popular questions from this chapter

In Problems 29鈥�36, the given pattern continues. Write down the nth term of a sequence $\{a_{n}\}$ suggested by the pattern.

$1, \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, . . .$

In Problems 61鈥�70, express each sum using summation notation.

$\frac{1}{e} + \frac{2}{e^{2}} + \frac{3}{e^{3}} + . . . . . . . . . + \frac{n}{e^{n}}$

In Problems 61鈥�70, express each sum using summation notation.

$a + a r + a r^{2} + . . . . . + a r^{n - 1}$

In Problems 51鈥�60, write out each sum.

${鈭�}_{k = 1}^{n} (2 k + 1)$

In Problems 29鈥�36, the given pattern continues. Write down the nth term of a sequence $\{a_{n}\}$ suggested by the pattern.

$\frac{2}{3}, \frac{4}{9}, \frac{8}{27}, \frac{16}{81}, . . .$

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