Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 11.4, Problem 30WE
To determine

To calculate:

An infinite arithmetic series

Expert Solution & Answer
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Answer to Problem 30WE

An infinite arithmetic series is n=01050n+8 or 8+58+108+...+508 .

Explanation of Solution

Given information:

First term: 8

Common ratio: 508

  n=11

Formula used:

The nth term of arithmetic sequence is given by the following expression:

  an=a1+(n1)d

Where,

First term: a1

Common difference: d

Calculation:

The common difference is calculated as below:

  a11=a1+(n1)d

Put the given data:

  508=8+(111)d10d=500d=50

  a2=a1+(n1)d=8+(21)50=8+50=58a3=a2+(n1)d=58+(21)50=58+50=108a4=a3+(n1)d=108+(21)50=108+50=158

So, formula becomes: 50n+8

Now, the lower limit is calculated by using the first term:

  50n+8=850n=0n=0

Now, the upper limit is calculated by using the last term:

  50n+8=50850n=500n=10

Hence, an arithmetic series is expressed as:

  n=01050n+8=8+58+108+...+508

Chapter 11 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 11.1 - Prob. 11OECh. 11.1 - Prob. 12OECh. 11.1 - Prob. 13OECh. 11.1 - Prob. 14OECh. 11.1 - Prob. 1WECh. 11.1 - Prob. 2WECh. 11.1 - Prob. 3WECh. 11.1 - Prob. 4WECh. 11.1 - Prob. 5WECh. 11.1 - Prob. 6WECh. 11.1 - Prob. 7WECh. 11.1 - Prob. 8WECh. 11.1 - Prob. 9WECh. 11.1 - Prob. 10WECh. 11.1 - Prob. 11WECh. 11.1 - Prob. 12WECh. 11.1 - Prob. 13WECh. 11.1 - Prob. 14WECh. 11.1 - Prob. 15WECh. 11.1 - Prob. 16WECh. 11.1 - Prob. 17WECh. 11.1 - Prob. 18WECh. 11.1 - Prob. 19WECh. 11.1 - Prob. 20WECh. 11.1 - Prob. 21WECh. 11.1 - Prob. 22WECh. 11.1 - Prob. 23WECh. 11.1 - Prob. 24WECh. 11.1 - Prob. 25WECh. 11.1 - Prob. 26WECh. 11.1 - Prob. 27WECh. 11.1 - Prob. 28WECh. 11.1 - Prob. 29WECh. 11.1 - Prob. 30WECh. 11.1 - Prob. 31WECh. 11.1 - Prob. 32WECh. 11.1 - Prob. 33WECh. 11.1 - Prob. 34WECh. 11.1 - Prob. 35WECh. 11.1 - Prob. 1MRECh. 11.1 - Prob. 2MRECh. 11.1 - Prob. 3MRECh. 11.1 - Prob. 4MRECh. 11.1 - Prob. 5MRECh. 11.1 - Prob. 6MRECh. 11.1 - Prob. 7MRECh. 11.1 - Prob. 8MRECh. 11.1 - Prob. 9MRECh. 11.2 - Prob. 1OECh. 11.2 - Prob. 2OECh. 11.2 - Prob. 3OECh. 11.2 - Prob. 4OECh. 11.2 - Prob. 5OECh. 11.2 - Prob. 6OECh. 11.2 - Prob. 1WECh. 11.2 - Prob. 2WECh. 11.2 - Prob. 3WECh. 11.2 - Prob. 4WECh. 11.2 - Prob. 5WECh. 11.2 - Prob. 6WECh. 11.2 - Prob. 7WECh. 11.2 - Prob. 8WECh. 11.2 - Prob. 9WECh. 11.2 - Prob. 10WECh. 11.2 - Prob. 11WECh. 11.2 - Prob. 12WECh. 11.2 - Prob. 13WECh. 11.2 - Prob. 14WECh. 11.2 - Prob. 15WECh. 11.2 - Prob. 16WECh. 11.2 - Prob. 17WECh. 11.2 - Prob. 18WECh. 11.2 - Prob. 19WECh. 11.2 - Prob. 20WECh. 11.2 - Prob. 21WECh. 11.2 - Prob. 22WECh. 11.2 - Prob. 23WECh. 11.2 - Prob. 24WECh. 11.2 - Prob. 25WECh. 11.2 - Prob. 26WECh. 11.2 - Prob. 27WECh. 11.2 - Prob. 28WECh. 11.2 - Prob. 29WECh. 11.2 - Prob. 30WECh. 11.2 - Prob. 31WECh. 11.2 - Prob. 32WECh. 11.2 - Prob. 33WECh. 11.3 - Prob. 1OECh. 11.3 - Prob. 2OECh. 11.3 - Prob. 3OECh. 11.3 - Prob. 4OECh. 11.3 - Prob. 5OECh. 11.3 - Prob. 6OECh. 11.3 - Prob. 7OECh. 11.3 - Prob. 8OECh. 11.3 - Prob. 1WECh. 11.3 - Prob. 2WECh. 11.3 - Prob. 3WECh. 11.3 - Prob. 4WECh. 11.3 - Prob. 5WECh. 11.3 - Prob. 6WECh. 11.3 - Prob. 7WECh. 11.3 - Prob. 8WECh. 11.3 - Prob. 9WECh. 11.3 - Prob. 10WECh. 11.3 - Prob. 11WECh. 11.3 - Prob. 12WECh. 11.3 - Prob. 13WECh. 11.3 - Prob. 14WECh. 11.3 - Prob. 15WECh. 11.3 - Prob. 16WECh. 11.3 - Prob. 17WECh. 11.3 - Prob. 18WECh. 11.3 - Prob. 19WECh. 11.3 - Prob. 20WECh. 11.3 - Prob. 21WECh. 11.3 - Prob. 22WECh. 11.3 - Prob. 23WECh. 11.3 - Prob. 24WECh. 11.3 - Prob. 25WECh. 11.3 - Prob. 26WECh. 11.3 - Prob. 27WECh. 11.3 - Prob. 28WECh. 11.3 - Prob. 29WECh. 11.3 - Prob. 30WECh. 11.3 - Prob. 31WECh. 11.3 - Prob. 32WECh. 11.3 - Prob. 33WECh. 11.3 - Prob. 34WECh. 11.3 - Prob. 35WECh. 11.3 - Prob. 36WECh. 11.3 - Prob. 37WECh. 11.3 - Prob. 38WECh. 11.3 - Prob. 39WECh. 11.3 - Prob. 40WECh. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 5PCh. 11.3 - Prob. 6PCh. 11.3 - Prob. 7PCh. 11.3 - Prob. 8PCh. 11.3 - Prob. 9PCh. 11.3 - Prob. 10PCh. 11.3 - Prob. 11PCh. 11.3 - Prob. 12PCh. 11.3 - Prob. 13PCh. 11.3 - Prob. 14PCh. 11.3 - Prob. 1MRECh. 11.3 - Prob. 2MRECh. 11.3 - Prob. 3MRECh. 11.3 - Prob. 4MRECh. 11.3 - Prob. 5MRECh. 11.3 - Prob. 6MRECh. 11.3 - Prob. 7MRECh. 11.3 - Prob. 8MRECh. 11.3 - Prob. 9MRECh. 11.3 - Prob. 1STCh. 11.3 - Prob. 2STCh. 11.3 - Prob. 3STCh. 11.3 - Prob. 4STCh. 11.3 - Prob. 5STCh. 11.3 - Prob. 6STCh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.4 - Prob. 1OECh. 11.4 - Prob. 2OECh. 11.4 - Prob. 3OECh. 11.4 - Prob. 4OECh. 11.4 - Prob. 5OECh. 11.4 - Prob. 6OECh. 11.4 - Prob. 7OECh. 11.4 - Prob. 8OECh. 11.4 - Prob. 9OECh. 11.4 - Prob. 10OECh. 11.4 - Prob. 11OECh. 11.4 - Prob. 12OECh. 11.4 - Prob. 13OECh. 11.4 - Prob. 14OECh. 11.4 - Prob. 1WECh. 11.4 - Prob. 2WECh. 11.4 - Prob. 3WECh. 11.4 - Prob. 4WECh. 11.4 - Prob. 5WECh. 11.4 - Prob. 6WECh. 11.4 - Prob. 7WECh. 11.4 - Prob. 8WECh. 11.4 - Prob. 9WECh. 11.4 - Prob. 10WECh. 11.4 - Prob. 11WECh. 11.4 - Prob. 12WECh. 11.4 - Prob. 13WECh. 11.4 - Prob. 14WECh. 11.4 - Prob. 15WECh. 11.4 - Prob. 16WECh. 11.4 - Prob. 17WECh. 11.4 - Prob. 18WECh. 11.4 - Prob. 19WECh. 11.4 - Prob. 20WECh. 11.4 - Prob. 21WECh. 11.4 - Prob. 22WECh. 11.4 - Prob. 23WECh. 11.4 - Prob. 24WECh. 11.4 - Prob. 25WECh. 11.4 - Prob. 26WECh. 11.4 - Prob. 27WECh. 11.4 - Prob. 28WECh. 11.4 - Prob. 29WECh. 11.4 - Prob. 30WECh. 11.4 - Prob. 31WECh. 11.4 - Prob. 32WECh. 11.4 - Prob. 33WECh. 11.4 - Prob. 34WECh. 11.4 - Prob. 35WECh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.5 - Prob. 1OECh. 11.5 - Prob. 2OECh. 11.5 - Prob. 3OECh. 11.5 - Prob. 4OECh. 11.5 - Prob. 1WECh. 11.5 - Prob. 2WECh. 11.5 - Prob. 3WECh. 11.5 - Prob. 4WECh. 11.5 - Prob. 5WECh. 11.5 - Prob. 6WECh. 11.5 - Prob. 7WECh. 11.5 - Prob. 8WECh. 11.5 - Prob. 9WECh. 11.5 - Prob. 10WECh. 11.5 - Prob. 11WECh. 11.5 - Prob. 12WECh. 11.5 - Prob. 13WECh. 11.5 - Prob. 14WECh. 11.5 - Prob. 15WECh. 11.5 - Prob. 16WECh. 11.5 - Prob. 17WECh. 11.5 - Prob. 18WECh. 11.5 - Prob. 19WECh. 11.5 - Prob. 20WECh. 11.5 - Prob. 21WECh. 11.5 - Prob. 22WECh. 11.5 - Prob. 23WECh. 11.5 - Prob. 24WECh. 11.5 - Prob. 25WECh. 11.5 - Prob. 26WECh. 11.5 - Prob. 27WECh. 11.5 - Prob. 28WECh. 11.5 - Prob. 29WECh. 11.5 - Prob. 30WECh. 11.5 - Prob. 31WECh. 11.5 - Prob. 32WECh. 11.5 - Prob. 33WECh. 11.5 - Prob. 34WECh. 11.5 - Prob. 35WECh. 11.5 - Prob. 36WECh. 11.5 - Prob. 37WECh. 11.5 - Prob. 38WECh. 11.5 - Prob. 1PCh. 11.5 - Prob. 2PCh. 11.5 - Prob. 3PCh. 11.5 - Prob. 4PCh. 11.5 - Prob. 5PCh. 11.5 - Prob. 6PCh. 11.5 - Prob. 7PCh. 11.5 - Prob. 8PCh. 11.5 - Prob. 9PCh. 11.5 - Prob. 10PCh. 11.5 - Prob. 11PCh. 11.5 - Prob. 12PCh. 11.5 - Prob. 13PCh. 11.5 - Prob. 14PCh. 11.5 - Prob. 15PCh. 11.5 - Prob. 1MRECh. 11.5 - Prob. 2MRECh. 11.5 - Prob. 3MRECh. 11.5 - Prob. 4MRECh. 11.5 - Prob. 5MRECh. 11.5 - Prob. 6MRECh. 11.5 - Prob. 7MRECh. 11.5 - Prob. 8MRECh. 11.5 - Prob. 9MRECh. 11.5 - Prob. 10MRECh. 11.5 - Prob. 11MRECh. 11.5 - Prob. 12MRECh. 11.5 - Prob. 1CECh. 11.5 - Prob. 2CECh. 11.6 - Prob. 1OECh. 11.6 - Prob. 2OECh. 11.6 - Prob. 3OECh. 11.6 - Prob. 4OECh. 11.6 - Prob. 5OECh. 11.6 - Prob. 6OECh. 11.6 - Prob. 7OECh. 11.6 - Prob. 8OECh. 11.6 - Prob. 9OECh. 11.6 - Prob. 10OECh. 11.6 - Prob. 1WECh. 11.6 - Prob. 2WECh. 11.6 - Prob. 3WECh. 11.6 - Prob. 4WECh. 11.6 - Prob. 5WECh. 11.6 - Prob. 6WECh. 11.6 - Prob. 7WECh. 11.6 - Prob. 8WECh. 11.6 - Prob. 9WECh. 11.6 - Prob. 10WECh. 11.6 - Prob. 11WECh. 11.6 - Prob. 12WECh. 11.6 - Prob. 13WECh. 11.6 - Prob. 14WECh. 11.6 - Prob. 15WECh. 11.6 - Prob. 16WECh. 11.6 - Prob. 17WECh. 11.6 - Prob. 18WECh. 11.6 - Prob. 19WECh. 11.6 - Prob. 20WECh. 11.6 - Prob. 21WECh. 11.6 - Prob. 22WECh. 11.6 - Prob. 23WECh. 11.6 - Prob. 24WECh. 11.6 - Prob. 25WECh. 11.6 - Prob. 26WECh. 11.6 - Prob. 27WECh. 11.6 - Prob. 28WECh. 11.6 - Prob. 29WECh. 11.6 - Prob. 30WECh. 11.6 - Prob. 1PCh. 11.6 - Prob. 2PCh. 11.6 - Prob. 3PCh. 11.6 - Prob. 4PCh. 11.6 - Prob. 5PCh. 11.6 - Prob. 6PCh. 11.6 - Prob. 7PCh. 11.6 - Prob. 8PCh. 11.6 - Prob. 9PCh. 11.6 - Prob. 10PCh. 11.6 - Prob. 11PCh. 11.6 - Prob. 12PCh. 11.6 - Prob. 13PCh. 11.6 - Prob. 14PCh. 11.6 - Prob. 1STCh. 11.6 - Prob. 2STCh. 11.6 - Prob. 3STCh. 11.6 - Prob. 4STCh. 11.7 - Prob. 1OECh. 11.7 - Prob. 2OECh. 11.7 - Prob. 3OECh. 11.7 - Prob. 4OECh. 11.7 - Prob. 5OECh. 11.7 - Prob. 1WECh. 11.7 - Prob. 2WECh. 11.7 - Prob. 3WECh. 11.7 - Prob. 4WECh. 11.7 - Prob. 5WECh. 11.7 - Prob. 6WECh. 11.7 - Prob. 7WECh. 11.7 - Prob. 8WECh. 11.7 - Prob. 9WECh. 11.7 - Prob. 10WECh. 11.7 - Prob. 11WECh. 11.7 - Prob. 12WECh. 11.7 - Prob. 13WECh. 11.7 - Prob. 14WECh. 11.7 - Prob. 15WECh. 11.7 - Prob. 16WECh. 11.7 - Prob. 17WECh. 11.7 - Prob. 18WECh. 11.7 - Prob. 19WECh. 11.7 - Prob. 20WECh. 11.7 - Prob. 21WECh. 11.7 - Prob. 22WECh. 11.7 - Prob. 23WECh. 11.7 - Prob. 24WECh. 11.7 - Prob. 1MRECh. 11.7 - Prob. 2MRECh. 11.7 - Prob. 3MRECh. 11.7 - Prob. 4MRECh. 11.7 - Prob. 5MRECh. 11.7 - Prob. 6MRECh. 11.7 - Prob. 7MRECh. 11.8 - Prob. 1OECh. 11.8 - Prob. 2OECh. 11.8 - Prob. 3OECh. 11.8 - Prob. 4OECh. 11.8 - Prob. 5OECh. 11.8 - Prob. 6OECh. 11.8 - Prob. 7OECh. 11.8 - Prob. 8OECh. 11.8 - Prob. 9OECh. 11.8 - Prob. 10OECh. 11.8 - Prob. 1WECh. 11.8 - Prob. 2WECh. 11.8 - Prob. 3WECh. 11.8 - Prob. 4WECh. 11.8 - Prob. 5WECh. 11.8 - Prob. 6WECh. 11.8 - Prob. 7WECh. 11.8 - Prob. 8WECh. 11.8 - Prob. 9WECh. 11.8 - Prob. 10WECh. 11.8 - Prob. 11WECh. 11.8 - Prob. 12WECh. 11.8 - Prob. 13WECh. 11.8 - Prob. 14WECh. 11.8 - Prob. 15WECh. 11.8 - Prob. 16WECh. 11.8 - Prob. 17WECh. 11.8 - Prob. 18WECh. 11.8 - Prob. 19WECh. 11.8 - Prob. 20WECh. 11.8 - Prob. 21WECh. 11.8 - Prob. 22WECh. 11.8 - Prob. 23WECh. 11.8 - Prob. 24WECh. 11.8 - Prob. 25WECh. 11.8 - Prob. 26WECh. 11.8 - Prob. 27WECh. 11.8 - Prob. 28WECh. 11.8 - Prob. 29WECh. 11.8 - Prob. 1STCh. 11.8 - Prob. 2STCh. 11.8 - Prob. 3STCh. 11.8 - Prob. 4STCh. 11.8 - Prob. 5STCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - Prob. 8CTCh. 11 - Prob. 9CTCh. 11 - Prob. 10CTCh. 11 - Prob. 11CTCh. 11 - Prob. 1CLRCh. 11 - Prob. 2CLRCh. 11 - Prob. 3CLRCh. 11 - Prob. 4CLRCh. 11 - Prob. 5CLRCh. 11 - Prob. 6CLRCh. 11 - Prob. 7CLRCh. 11 - Prob. 8CLRCh. 11 - Prob. 9CLRCh. 11 - Prob. 10CLRCh. 11 - Prob. 11CLRCh. 11 - Prob. 12CLRCh. 11 - Prob. 13CLRCh. 11 - Prob. 14CLRCh. 11 - Prob. 15CLRCh. 11 - Prob. 16CLRCh. 11 - Prob. 17CLRCh. 11 - Prob. 18CLRCh. 11 - Prob. 19CLRCh. 11 - Prob. 20CLRCh. 11 - Prob. 21CLRCh. 11 - Prob. 22CLR
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