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High School Math Algebra High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Whether the sequence is arithmetic. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

Whether the sequence is arithmetic. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

15th Edition

ISBN: 9780133281149

Author: Prentice Hall

Publisher: Prentice Hall

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Chapter 4, Problem 15CT

To determine

To find:Whether the sequence is arithmetic. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

Expert Solution & Answer

Answer to Problem 15CT

The sequence is not arithmetic.

Explanation of Solution

Given information: 128,64,32,16,...

Calculation:

Difference between 2nd term and 1st term =64−128=−64

Difference between 3rd term and 2nd term =32−64=−32

Difference between 4th term and 3rd term =16−32=−16

Since, the sequence does not have a common difference the sequence is not arithmetic.

Chapter 4, Problem 14CT

Chapter 4, Problem 16CT

Chapter 4 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 1LC Ch. 4.1 - Prob. 2LC Ch. 4.1 - Prob. 3LC Ch. 4.1 - Prob. 4LC Ch. 4.1 - Prob. 5PPE Ch. 4.1 - Prob. 6PPE Ch. 4.1 - Prob. 7PPE

Ch. 4.1 - Prob. 8PPE Ch. 4.1 - Prob. 9PPE Ch. 4.1 - Prob. 10PPE Ch. 4.1 - Prob. 11PPE Ch. 4.1 - Prob. 12PPE Ch. 4.1 - Prob. 13PPE Ch. 4.1 - Prob. 14PPE Ch. 4.1 - Prob. 15PPE Ch. 4.1 - Prob. 16PPE Ch. 4.1 - Prob. 17PPE Ch. 4.1 - Prob. 18PPE Ch. 4.1 - Prob. 19PPE Ch. 4.1 - Prob. 20PPE Ch. 4.1 - Prob. 21STP Ch. 4.1 - Prob. 22STP Ch. 4.1 - Prob. 23STP Ch. 4.1 - Prob. 24MR Ch. 4.1 - Prob. 25MR Ch. 4.1 - Prob. 26MR Ch. 4.1 - Prob. 27MR Ch. 4.1 - Prob. 28MR Ch. 4.1 - Prob. 29MR Ch. 4.2 - Prob. 1P Ch. 4.2 - Prob. 2P Ch. 4.2 - Prob. 1LC Ch. 4.2 - Prob. 2LC Ch. 4.2 - Prob. 3LC Ch. 4.2 - Prob. 4LC Ch. 4.2 - Prob. 5LC Ch. 4.2 - Prob. 6PPE Ch. 4.2 - Prob. 7PPE Ch. 4.2 - Prob. 8PPE Ch. 4.2 - Prob. 9PPE Ch. 4.2 - Prob. 10PPE Ch. 4.2 - Prob. 11PPE Ch. 4.2 - Prob. 12PPE Ch. 4.2 - Prob. 13PPE Ch. 4.2 - Prob. 14PPE Ch. 4.2 - Prob. 15PPE Ch. 4.2 - Prob. 16PPE Ch. 4.2 - Prob. 17PPE Ch. 4.2 - Prob. 18PPE Ch. 4.2 - Prob. 19PPE Ch. 4.2 - Prob. 20PPE Ch. 4.2 - Prob. 1MP Ch. 4.3 - Prob. 1P Ch. 4.3 - Prob. 2P Ch. 4.3 - Prob. 3P Ch. 4.3 - Prob. 1LC Ch. 4.3 - Prob. 2LC Ch. 4.3 - Prob. 3LC Ch. 4.3 - Prob. 4LC Ch. 4.3 - Prob. 5LC Ch. 4.3 - Prob. 6PPE Ch. 4.3 - Prob. 7PPE Ch. 4.3 - Prob. 8PPE Ch. 4.3 - Prob. 9PPE Ch. 4.3 - Prob. 10PPE Ch. 4.3 - Prob. 11PPE Ch. 4.3 - Prob. 12PPE Ch. 4.3 - Prob. 13PPE Ch. 4.3 - Prob. 14PPE Ch. 4.3 - Prob. 15PPE Ch. 4.3 - Prob. 16PPE Ch. 4.3 - Prob. 17PPE Ch. 4.3 - Prob. 18PPE Ch. 4.3 - Prob. 19PPE Ch. 4.3 - Prob. 20PPE Ch. 4.3 - Prob. 21PPE Ch. 4.3 - Prob. 22PPE Ch. 4.3 - Prob. 23STP Ch. 4.3 - Prob. 24STP Ch. 4.3 - Prob. 25STP Ch. 4.3 - Prob. 26MR Ch. 4.3 - Prob. 27MR Ch. 4.3 - Prob. 28MR Ch. 4.3 - Prob. 29MR Ch. 4.3 - Prob. 1MCQ Ch. 4.3 - Prob. 2MCQ Ch. 4.3 - Prob. 3MCQ Ch. 4.3 - Prob. 4MCQ Ch. 4.3 - Prob. 5MCQ Ch. 4.3 - Prob. 6MCQ Ch. 4.3 - Prob. 7MCQ Ch. 4.3 - Prob. 8MCQ Ch. 4.3 - Prob. 9MCQ Ch. 4.3 - Prob. 10MCQ Ch. 4.3 - Prob. 11MCQ Ch. 4.4 - Prob. 1P Ch. 4.4 - Prob. 2P Ch. 4.4 - Prob. 3P Ch. 4.4 - Prob. 4P Ch. 4.4 - Prob. 1LC Ch. 4.4 - Prob. 2LC Ch. 4.4 - Prob. 3LC Ch. 4.4 - Prob. 4LC Ch. 4.4 - Prob. 5LC Ch. 4.4 - Prob. 6LC Ch. 4.4 - Prob. 7LC Ch. 4.4 - Prob. 8LC Ch. 4.4 - Prob. 9PPE Ch. 4.4 - Prob. 10PPE Ch. 4.4 - Prob. 11PPE Ch. 4.4 - Prob. 12PPE Ch. 4.4 - Prob. 13PPE Ch. 4.4 - Prob. 14PPE Ch. 4.4 - Prob. 15PPE Ch. 4.4 - Prob. 16PPE Ch. 4.4 - Prob. 17PPE Ch. 4.4 - Prob. 18PPE Ch. 4.4 - Prob. 19PPE Ch. 4.4 - Prob. 20PPE Ch. 4.4 - Prob. 21PPE Ch. 4.4 - Prob. 22PPE Ch. 4.4 - Prob. 23PPE Ch. 4.4 - Prob. 24PPE Ch. 4.4 - Prob. 25PPE Ch. 4.4 - Prob. 26PPE Ch. 4.4 - Prob. 27PPE Ch. 4.4 - Prob. 28PPE Ch. 4.4 - Prob. 29PPE Ch. 4.4 - Prob. 30PPE Ch. 4.4 - Prob. 31PPE Ch. 4.4 - Prob. 32PPE Ch. 4.4 - Prob. 33PPE Ch. 4.4 - Prob. 34PPE Ch. 4.4 - Prob. 35PPE Ch. 4.4 - Prob. 36PPE Ch. 4.4 - Prob. 37PPE Ch. 4.4 - Prob. 38PPE Ch. 4.4 - Prob. 39PPE Ch. 4.4 - Prob. 40PPE Ch. 4.4 - Prob. 41PPE Ch. 4.4 - Prob. 1MP Ch. 4.4 - Prob. 1CB Ch. 4.4 - Prob. 2CB Ch. 4.4 - Prob. 3CB Ch. 4.4 - Prob. 4CB Ch. 4.4 - Prob. 5CB Ch. 4.4 - Prob. 6CB Ch. 4.4 - Prob. 7CB Ch. 4.4 - Prob. 8CB Ch. 4.4 - Prob. 9CB Ch. 4.4 - Prob. 10CB Ch. 4.4 - Prob. 11CB Ch. 4.4 - Prob. 12CB Ch. 4.4 - Prob. 13CB Ch. 4.4 - Prob. 14CB Ch. 4.5 - Prob. 1P Ch. 4.5 - Prob. 2P Ch. 4.5 - Prob. 3P Ch. 4.5 - Prob. 1LC Ch. 4.5 - Prob. 2LC Ch. 4.5 - Prob. 3LC Ch. 4.5 - Prob. 4LC Ch. 4.5 - Prob. 5LC Ch. 4.5 - Prob. 6LC Ch. 4.5 - Prob. 7LC Ch. 4.5 - Prob. 8PPE Ch. 4.5 - Prob. 9PPE Ch. 4.5 - Prob. 10PPE Ch. 4.5 - Prob. 11PPE Ch. 4.5 - Prob. 12PPE Ch. 4.5 - Prob. 13PPE Ch. 4.5 - Prob. 14PPE Ch. 4.5 - Prob. 15PPE Ch. 4.5 - Prob. 16PPE Ch. 4.5 - Prob. 17PPE Ch. 4.5 - Prob. 18PPE Ch. 4.5 - Prob. 19PPE Ch. 4.5 - Prob. 20PPE Ch. 4.5 - Prob. 21PPE Ch. 4.5 - Prob. 22PPE Ch. 4.5 - Prob. 23PPE Ch. 4.5 - Prob. 24PPE Ch. 4.5 - Prob. 25PPE Ch. 4.5 - Prob. 26PPE Ch. 4.5 - Prob. 27PPE Ch. 4.5 - Prob. 28PPE Ch. 4.5 - Prob. 29PPE Ch. 4.5 - Prob. 30PPE Ch. 4.5 - Prob. 31PPE Ch. 4.5 - Prob. 32PPE Ch. 4.5 - Prob. 33STP Ch. 4.5 - Prob. 34STP Ch. 4.5 - Prob. 35STP Ch. 4.5 - Prob. 36STP Ch. 4.5 - Prob. 37MR Ch. 4.5 - Prob. 38MR Ch. 4.5 - Prob. 39MR Ch. 4.5 - Prob. 40MR Ch. 4.5 - Prob. 41MR Ch. 4.5 - Prob. 42MR Ch. 4.5 - Prob. 43MR Ch. 4.5 - Prob. 44MR Ch. 4.5 - Prob. 45MR Ch. 4.5 - Prob. 46MR Ch. 4.5 - Prob. 47MR Ch. 4.5 - Prob. 48MR Ch. 4.5 - Prob. 49MR Ch. 4.5 - Prob. 50MR Ch. 4.5 - Prob. 51MR Ch. 4.5 - Prob. 52MR Ch. 4.5 - Prob. 53MR Ch. 4.5 - Prob. 54MR Ch. 4.5 - Prob. 55MR Ch. 4.5 - Prob. 56MR Ch. 4.6 - Prob. 1P Ch. 4.6 - Prob. 2P Ch. 4.6 - Prob. 3P Ch. 4.6 - Prob. 4P Ch. 4.6 - Prob. 5P Ch. 4.6 - Prob. 1LC Ch. 4.6 - Prob. 2LC Ch. 4.6 - Prob. 3LC Ch. 4.6 - Prob. 4LC Ch. 4.6 - Prob. 5LC Ch. 4.6 - Prob. 6LC Ch. 4.6 - Prob. 7LC Ch. 4.6 - Prob. 8PPE Ch. 4.6 - Prob. 9PPE Ch. 4.6 - Prob. 10PPE Ch. 4.6 - Prob. 11PPE Ch. 4.6 - Prob. 12PPE Ch. 4.6 - Prob. 13PPE Ch. 4.6 - Prob. 14PPE Ch. 4.6 - Prob. 15PPE Ch. 4.6 - Prob. 16PPE Ch. 4.6 - Prob. 17PPE Ch. 4.6 - Prob. 18PPE Ch. 4.6 - Prob. 19PPE Ch. 4.6 - Prob. 20PPE Ch. 4.6 - Prob. 21PPE Ch. 4.6 - Prob. 22PPE Ch. 4.6 - Prob. 23PPE Ch. 4.6 - Prob. 24PPE Ch. 4.6 - Prob. 25PPE Ch. 4.6 - Prob. 26PPE Ch. 4.6 - Prob. 27PPE Ch. 4.6 - Prob. 28PPE Ch. 4.6 - Prob. 29PPE Ch. 4.6 - Prob. 30PPE Ch. 4.6 - Prob. 31PPE Ch. 4.6 - Prob. 32PPE Ch. 4.6 - Prob. 33PPE Ch. 4.6 - Prob. 34PPE Ch. 4.6 - Prob. 35PPE Ch. 4.6 - Prob. 36PPE Ch. 4.6 - Prob. 37PPE Ch. 4.6 - Prob. 38PPE Ch. 4.6 - Prob. 39PPE Ch. 4.6 - Prob. 40PPE Ch. 4.6 - Prob. 41STP Ch. 4.6 - Prob. 42STP Ch. 4.6 - Prob. 43STP Ch. 4.6 - Prob. 44STP Ch. 4.6 - Prob. 45MR Ch. 4.6 - Prob. 46MR Ch. 4.6 - Prob. 47MR Ch. 4.6 - Prob. 48MR Ch. 4.6 - Prob. 49MR Ch. 4.6 - Prob. 50MR Ch. 4.7 - Prob. 1P Ch. 4.7 - Prob. 2P Ch. 4.7 - Prob. 3P Ch. 4.7 - Prob. 4P Ch. 4.7 - Prob. 5P Ch. 4.7 - Prob. 6P Ch. 4.7 - Prob. 1LC Ch. 4.7 - Prob. 2LC Ch. 4.7 - Prob. 3LC Ch. 4.7 - Prob. 4LC Ch. 4.7 - Prob. 5LC Ch. 4.7 - Prob. 6LC Ch. 4.7 - Prob. 7LC Ch. 4.7 - Prob. 8LC Ch. 4.7 - Prob. 9PPE Ch. 4.7 - Prob. 10PPE Ch. 4.7 - Prob. 11PPE Ch. 4.7 - Prob. 12PPE Ch. 4.7 - Prob. 13PPE Ch. 4.7 - Prob. 14PPE Ch. 4.7 - Prob. 15PPE Ch. 4.7 - Prob. 16PPE Ch. 4.7 - Prob. 17PPE Ch. 4.7 - Prob. 18PPE Ch. 4.7 - Prob. 19PPE Ch. 4.7 - Prob. 20PPE Ch. 4.7 - Prob. 21PPE Ch. 4.7 - Prob. 22PPE Ch. 4.7 - Prob. 23PPE Ch. 4.7 - Prob. 24PPE Ch. 4.7 - Prob. 25PPE Ch. 4.7 - Prob. 26PPE Ch. 4.7 - Prob. 27PPE Ch. 4.7 - Prob. 28PPE Ch. 4.7 - Prob. 29PPE Ch. 4.7 - Prob. 30PPE Ch. 4.7 - Prob. 31PPE Ch. 4.7 - Prob. 32PPE Ch. 4.7 - Prob. 33PPE Ch. 4.7 - Prob. 34PPE Ch. 4.7 - Prob. 35PPE Ch. 4.7 - Prob. 36PPE Ch. 4.7 - Prob. 37PPE Ch. 4.7 - Prob. 38PPE Ch. 4.7 - Prob. 39PPE Ch. 4.7 - Prob. 40PPE Ch. 4.7 - Prob. 41PPE Ch. 4.7 - Prob. 42PPE Ch. 4.7 - Prob. 43PPE Ch. 4.7 - Prob. 44PPE Ch. 4.7 - Prob. 45PPE Ch. 4.7 - Prob. 46PPE Ch. 4.7 - Prob. 47PPE Ch. 4.7 - Prob. 48PPE Ch. 4.7 - Prob. 49PPE Ch. 4.7 - Prob. 50PPE Ch. 4.7 - Prob. 51PPE Ch. 4.7 - Prob. 52PPE Ch. 4.7 - Prob. 53PPE Ch. 4.7 - Prob. 54PPE Ch. 4.7 - Prob. 55PPE Ch. 4.7 - Prob. 56PPE Ch. 4.7 - Prob. 57PPE Ch. 4.7 - Prob. 58PPE Ch. 4.7 - Prob. 59PPE Ch. 4.7 - Prob. 60PPE Ch. 4.7 - Prob. 61PPE Ch. 4.7 - Prob. 62PPE Ch. 4.7 - Prob. 63PPE Ch. 4.7 - Prob. 64PPE Ch. 4.7 - Prob. 65PPE Ch. 4.7 - Prob. 66PPE Ch. 4.7 - Prob. 67PPE Ch. 4.7 - Prob. 68PPE Ch. 4.7 - Prob. 69PPE Ch. 4.7 - Prob. 70PPE Ch. 4.7 - Prob. 71PPE Ch. 4.7 - Prob. 72PPE Ch. 4.7 - Prob. 73PPE Ch. 4.7 - Prob. 74PPE Ch. 4.7 - Prob. 75PPE Ch. 4.7 - Prob. 1MP Ch. 4 - Prob. 1GR Ch. 4 - Prob. 2GR Ch. 4 - Prob. 3GR Ch. 4 - Prob. 4GR Ch. 4 - Prob. 5GR Ch. 4 - Prob. 6GR Ch. 4 - Prob. 7GR Ch. 4 - Prob. 8GR Ch. 4 - Prob. 9GR Ch. 4 - Prob. 10GR Ch. 4 - Prob. 11GR Ch. 4 - Prob. 12GR Ch. 4 - Prob. 13GR Ch. 4 - Prob. 14GR Ch. 4 - Prob. 15GR Ch. 4 - Prob. 16GR Ch. 4 - Prob. 17GR Ch. 4 - Prob. 18GR Ch. 4 - Prob. 19GR Ch. 4 - Prob. 20GR Ch. 4 - Prob. 21GR Ch. 4 - Prob. 22GR Ch. 4 - Prob. 1CR Ch. 4 - Prob. 2CR Ch. 4 - Prob. 3CR Ch. 4 - Prob. 4CR Ch. 4 - Prob. 5CR Ch. 4 - Prob. 6CR Ch. 4 - Prob. 7CR Ch. 4 - Prob. 8CR Ch. 4 - Prob. 9CR Ch. 4 - Prob. 10CR Ch. 4 - Prob. 11CR Ch. 4 - Prob. 12CR Ch. 4 - Prob. 13CR Ch. 4 - Prob. 14CR Ch. 4 - Prob. 15CR Ch. 4 - Prob. 16CR Ch. 4 - Prob. 17CR Ch. 4 - Prob. 18CR Ch. 4 - Prob. 19CR Ch. 4 - Prob. 20CR Ch. 4 - Prob. 21CR Ch. 4 - Prob. 22CR Ch. 4 - Prob. 23CR Ch. 4 - Prob. 24CR Ch. 4 - Prob. 25CR Ch. 4 - Prob. 26CR Ch. 4 - Prob. 27CR Ch. 4 - Prob. 28CR Ch. 4 - Prob. 29CR Ch. 4 - Prob. 30CR Ch. 4 - Prob. 1CT Ch. 4 - Prob. 2CT Ch. 4 - Prob. 3CT Ch. 4 - Prob. 4CT Ch. 4 - Prob. 5CT Ch. 4 - Prob. 6CT Ch. 4 - Prob. 7CT Ch. 4 - Prob. 8CT Ch. 4 - Prob. 9CT Ch. 4 - Prob. 10CT Ch. 4 - Prob. 11CT Ch. 4 - Prob. 12CT Ch. 4 - Prob. 13CT Ch. 4 - Prob. 14CT Ch. 4 - Prob. 15CT Ch. 4 - Prob. 16CT Ch. 4 - Prob. 17CT Ch. 4 - Prob. 18CT Ch. 4 - Prob. 19CT Ch. 4 - Prob. 20CT Ch. 4 - Prob. 1CCSR Ch. 4 - Prob. 2CCSR Ch. 4 - Prob. 3CCSR Ch. 4 - Prob. 4CCSR Ch. 4 - Prob. 5CCSR Ch. 4 - Prob. 6CCSR Ch. 4 - Prob. 7CCSR Ch. 4 - Prob. 8CCSR Ch. 4 - Prob. 9CCSR Ch. 4 - Prob. 10CCSR Ch. 4 - Prob. 11CCSR Ch. 4 - Prob. 12CCSR Ch. 4 - Prob. 13CCSR Ch. 4 - Prob. 14CCSR Ch. 4 - Prob. 15CCSR Ch. 4 - Prob. 16CCSR Ch. 4 - Prob. 17CCSR Ch. 4 - Prob. 18CCSR Ch. 4 - Prob. 19CCSR Ch. 4 - Prob. 20CCSR Ch. 4 - Prob. 21CCSR Ch. 4 - Prob. 22CCSR Ch. 4 - Prob. 23CCSR Ch. 4 - Prob. 24CCSR Ch. 4 - Prob. 25CCSR Ch. 4 - Prob. 26CCSR Ch. 4 - Prob. 27CCSR

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