Chapter 12: Q. 1 (page 838)

In Problems 1– 4, write down the first five terms of each sequence.
${a_{n}} = \{{(- 1)}^{n} (\frac{n + 3}{n + 2})\}$

Short Answer

Expert verified

First five term of the sequence are: $- \frac{4}{3}, \frac{5}{4}, - \frac{6}{5}, \frac{7}{6}, - \frac{8}{7}$

Step by step solution

Given information.

General term of the sequence:

{a_{n}} = \{{(- 1)}^{n} (\frac{n + 3}{n + 2})\}

Step 2. Substitute first five integral value of nin the expression an and solve.

First term is: $a_{1} = \{{(- 1)}^{1} (\frac{1 + 3}{1 + 2})\} a_{1} = - \frac{4}{3}$

Second term: $a_{2} = \{{(- 1)}^{2} (\frac{2 + 3}{2 + 2})\} a_{2} = \frac{5}{4}$

Third term: $a_{3} = \{{(- 1)}^{3} (\frac{3 + 3}{3 + 2})\} a_{3} = - \frac{6}{5}$

Fourth term: $a_{4} = \{{(- 1)}^{4} (\frac{4 + 3}{4 + 2})\} a_{4} = \frac{7}{6}$

Fifth term: $a_{5} = \{{(- 1)}^{5} (\frac{5 + 3}{5 + 2})\} a_{5} = - \frac{8}{7}$

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In Problems 1– 4, write down the first five terms of each sequence.
${a_{n}} = \{{(- 1)}^{n} (\frac{n + 3}{n + 2})\}$

Short Answer

Step by step solution

Given information.

Step 2. Substitute first five integral value of nin the expression an and solve.

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In Problems 1– 4, write down the first five terms of each sequence.{an}=-1nn+3n+2

Short Answer

Step by step solution

Given information.

Step 2. Substitute first five integral value of nin the expression an and solve.

One App. One Place for Learning.

Most popular questions from this chapter

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Calculus

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In Problems 1– 4, write down the first five terms of each sequence.
${a_{n}} = \{{(- 1)}^{n} (\frac{n + 3}{n + 2})\}$