/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 7 In Exercises 5 - 14, determine w... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 7

In Exercises 5 - 14, determine whether the sequence is arithmetic. If so, find the common difference. \( 4, 9, 14, 19, 24, \cdots \)

Short Answer

Expert verified
The sequence is arithmetic with a common difference of 5.

Step by step solution

01

Understand the Problem

Given a sequence of terms \(4, 9, 14, 19, 24, \cdots \). The task is to determine whether this sequence is arithmetic, and if it is, to find the common difference.
02

Checking for Arithmetic Sequence

To ascertain if the sequence is arithmetic, find if the difference between any two successive terms in the sequence is constant. To do this, subtract the first term from the second term (9 - 4), the second term from the third term (14 - 9), and the third term from the fourth term (19 - 14).
03

Determine the Common Difference

If the sequence is arithmetic, the differences found in Step 2 should all be the same. So, the difference 9 - 4, 14 - 9, 19 - 14 should all give the same value.
04

Confirming the Arithmetic Sequence

If the differences from Step 3 are equal, then, it confirms that the sequence is arithmetic and the constant difference is the common difference of the arithmetic sequence.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Three points that are not collinear determine three lines. How many lines are determinedby nine points, no three of which are collinear?

In Exercises 79 - 86, solve for \( n \). \( 14 \cdot _nP_3 = _{n + 2}P_4 \)

In Exercises 25 - 30, find the probability for the experiment of tossing a six-sided die twice. The sum is less than \( 11 \).

In Exercises 39 - 42, you are given the probability that an event will not happen. Find the probability that the event will happen. \( P(E') = \dfrac{17}{35} \)

In Exercises 35 - 38, you are given the probability that an event will happen. Find the probability that the event will not happen. \( P(E) = \dfrac{2}{3} \)
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.