Chapter 11: Q27. (page 581)

Find the first five terms of each arithmetic sequence described.
$a_{1} = \frac{4}{3}, d = - \frac{1}{3}$

Short Answer

Expert verified

The first five terms of the arithmetic sequence described are $\frac{4}{3}, 1, \frac{2}{3}, \frac{1}{3}, 0$

Step by step solution

Step 1. Given Information.

Given arithmetic sequence is described by $a_{1} = \frac{4}{3}, d = - \frac{1}{3}$

Step 2. Calculation.

In an arithmetic sequence a term can be obtained by adding the common difference to the previous term.

Here the first term is $a_{1} = \frac{4}{3}$

And, the common difference is $d = - \frac{1}{3}$ .

The second term in the arithmetic sequence is:

$\begin{matrix} a_{2} = a_{1} + d \\ a_{2} = \frac{4}{3} - \frac{1}{3} \\ a_{2} = 1 \end{matrix}$

The third term in the arithmetic sequence is:

$\begin{matrix} a_{3} = a_{2} + d \\ a_{3} = 1 - \frac{1}{3} \\ a_{3} = \frac{2}{3} \end{matrix}$

The fourth term in the arithmetic sequence is:

$\begin{array}{l} a_{4} = a_{3} + d \\ a_{4} = \frac{2}{3} - \frac{1}{3} \\ a_{4} = \frac{1}{3} \end{array}$

The fifth term in the arithmetic sequence is:

$\begin{array}{l} a_{5} = a_{4} + d \\ a_{5} = \frac{1}{3} - \frac{1}{3} \\ a_{5} = 0 \end{array}$

Step 3. Conclusion.

Hence, the first five terms of the arithmetic sequence described are $\frac{4}{3}, 1, \frac{2}{3}, \frac{1}{3}, 0$ .

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Find the first five terms of each arithmetic sequence described.
$a_{1} = \frac{4}{3}, d = - \frac{1}{3}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the first five terms of each arithmetic sequence described.a1=43,d=−13

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Find the first five terms of each arithmetic sequence described.
$a_{1} = \frac{4}{3}, d = - \frac{1}{3}$