Q22. Determine whether each sequence ... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 3: Q22. (page 205)

Determine whether each sequence is an arithmetic sequence. If it is,state the common difference.
$鈭� 40, 鈭� 32, 鈭� 24, 鈭� 16, .....$

Short Answer

Expert verified

The given sequence is an arithmetic sequence and the common difference is 8.

Step by step solution

Step 1. State the concept of arithmetic sequence.

In anArithmetic Sequencethe difference between one term and the next is a constant.

The nthterm of the Arithmetic sequence is given by the formula,

$a_{n} = a + (n 鈭� 1) d d = a_{2} 鈭� a_{1}$

Where, $a_{1} = a =$ first term and $d =$ common difference.

Step 2. Find the common difference of corresponding terms.

The common difference between the corresponding terms are calculated as follows.

$\begin{matrix} d = a_{2} 鈭� a_{1} = 鈭� 32 鈭� (鈭� 40) = 鈭� 32 + 40 = 8 \\ d = a_{3} 鈭� a_{2} = 鈭� 24 鈭� (鈭� 32) = 鈭� 24 + 32 = 8 \\ d = a_{4} 鈭� a_{3} = 鈭� 16 鈭� (鈭� 24) = 鈭� 16 + 24 = 8 \end{matrix}$

Step 3. State the Conclusion.

In the above step, the common difference is constant and its value is 8.

Hence the given sequence is an arithmetic sequence and its common difference is 8.

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91影视

Determine whether each sequence is an arithmetic sequence. If it is,state the common difference.
$鈭� 40, 鈭� 32, 鈭� 24, 鈭� 16, .....$

Short Answer

Step by step solution

Step 1. State the concept of arithmetic sequence.

Step 2. Find the common difference of corresponding terms.

Step 3. State the Conclusion.

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91影视

Determine whether each sequence is an arithmetic sequence. If it is,state the common difference.鈭�40,鈭�32,鈭�24,鈭�16,.....

Short Answer

Step by step solution

Step 1. State the concept of arithmetic sequence.

Step 2. Find the common difference of corresponding terms.

Step 3. State the Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Logic and Functions

Decision Maths

Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Determine whether each sequence is an arithmetic sequence. If it is,state the common difference.
$鈭� 40, 鈭� 32, 鈭� 24, 鈭� 16, .....$