EBK ALGEBRA 2
EBK ALGEBRA 2
11th Edition
ISBN: 9780544714304
Author: Larson
Publisher: HMH PUB
Expert Solution & Answer
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Chapter 7.3, Problem 8MRPS
Solution

To calculate : The arithmetic and geometric series such that both have five terms and the same sum.

The arithmetic and geometric series such that both have five terms and the same sum are an=2+5.2n1 and an=22n1 .

Given information :

The series has five terms and the same sum.

Formula used :

The nth term of an arithmetic series with first term as a1 and common difference d is given by an=a1+n1d .

The nth term of a geometric series with first term as a1 and common ratio r is given by an=a1rn1 .

Calculation :

As the series have five terms, so n=2 .

Assume a1=2 and equate the sums of arithmetic and geometric series.

  i=15a1+n1d=i=15a1rn152+a52=21r51r52+a1+4d2=21r51r52+2+4d2=21r51r

  2+2d=251r51r2d=251r51r2d=151r51r1

Now, assume r=2 to calculate the value of d .

  d=15125121=1513211=153111=0.2311

  d=6.21=5.2

Substitute the values a1=2 and d=5.2 to formula an=a1+n1d .

  an=2+n15.2=2+5.2n1

Substitute the values a1=2 and r=2 to formula an=a1rn1 .

  an=22n1

Thus, the arithmetic and geometric series such that both have five terms and the same sum are an=2+5.2n1 and an=22n1 .

Chapter 7 Solutions

EBK ALGEBRA 2

Ch. 7.1 - Prob. 11GPCh. 7.1 - Prob. 12GPCh. 7.1 - Prob. 13GPCh. 7.1 - Prob. 14GPCh. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10ECh. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63PSCh. 7.1 - Prob. 64PSCh. 7.1 - Prob. 65PSCh. 7.1 - Prob. 66PSCh. 7.1 - Prob. 67PSCh. 7.1 - Prob. 68PSCh. 7.1 - Prob. 1PCh. 7.1 - Prob. 2PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Prob. 5PCh. 7.1 - Prob. 6PCh. 7.2 - Prob. 1GPCh. 7.2 - Prob. 2GPCh. 7.2 - Prob. 3GPCh. 7.2 - Prob. 4GPCh. 7.2 - Prob. 5GPCh. 7.2 - Prob. 6GPCh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - Prob. 10ECh. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Prob. 21ECh. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Prob. 41ECh. 7.2 - Prob. 42ECh. 7.2 - Prob. 43ECh. 7.2 - Prob. 44ECh. 7.2 - Prob. 45ECh. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Prob. 50ECh. 7.2 - Prob. 51ECh. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Prob. 63PSCh. 7.2 - Prob. 64PSCh. 7.2 - Prob. 65PSCh. 7.2 - Prob. 66PSCh. 7.2 - Prob. 67PSCh. 7.2 - Prob. 68PSCh. 7.2 - Prob. 69PSCh. 7.3 - Prob. 1GPCh. 7.3 - Prob. 2GPCh. 7.3 - Prob. 3GPCh. 7.3 - Prob. 4GPCh. 7.3 - Prob. 5GPCh. 7.3 - Prob. 6GPCh. 7.3 - Prob. 7GPCh. 7.3 - Prob. 8GPCh. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Prob. 32ECh. 7.3 - Prob. 33ECh. 7.3 - Prob. 34ECh. 7.3 - Prob. 35ECh. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Prob. 41ECh. 7.3 - Prob. 42ECh. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Prob. 45ECh. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Prob. 54ECh. 7.3 - Prob. 55ECh. 7.3 - Prob. 56ECh. 7.3 - Prob. 57PSCh. 7.3 - Prob. 58PSCh. 7.3 - Prob. 59PSCh. 7.3 - Prob. 60PSCh. 7.3 - Prob. 61PSCh. 7.3 - Prob. 62PSCh. 7.3 - Prob. 1QCh. 7.3 - Prob. 2QCh. 7.3 - Prob. 3QCh. 7.3 - Prob. 4QCh. 7.3 - Prob. 5QCh. 7.3 - Prob. 6QCh. 7.3 - Prob. 7QCh. 7.3 - Prob. 8QCh. 7.3 - Prob. 9QCh. 7.3 - Prob. 10QCh. 7.3 - Prob. 11QCh. 7.3 - Prob. 12QCh. 7.3 - Prob. 13QCh. 7.3 - Prob. 14QCh. 7.3 - Prob. 15QCh. 7.3 - Prob. 16QCh. 7.3 - Prob. 1MRPSCh. 7.3 - Prob. 2MRPSCh. 7.3 - Prob. 3MRPSCh. 7.3 - Prob. 4MRPSCh. 7.3 - Prob. 5MRPSCh. 7.3 - Prob. 6MRPSCh. 7.3 - Prob. 7MRPSCh. 7.3 - Prob. 8MRPSCh. 7.3 - Prob. 1DCCh. 7.3 - Prob. 2DCCh. 7.4 - Prob. 1GPCh. 7.4 - Prob. 2GPCh. 7.4 - Prob. 3GPCh. 7.4 - Prob. 4GPCh. 7.4 - Prob. 5GPCh. 7.4 - Prob. 6GPCh. 7.4 - Prob. 7GPCh. 7.4 - Prob. 8GPCh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - Prob. 14ECh. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37PSCh. 7.4 - Prob. 38PSCh. 7.4 - Prob. 39PSCh. 7.4 - Prob. 40PSCh. 7.4 - Prob. 41PSCh. 7.4 - Prob. 42PSCh. 7.4 - Prob. 1DCCh. 7.4 - Prob. 2DCCh. 7.4 - Prob. 3DCCh. 7.4 - Prob. 4DCCh. 7.5 - Prob. 1GPCh. 7.5 - Prob. 2GPCh. 7.5 - Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 5GPCh. 7.5 - Prob. 6GPCh. 7.5 - Prob. 7GPCh. 7.5 - Prob. 8GPCh. 7.5 - Prob. 9GPCh. 7.5 - Prob. 10GPCh. 7.5 - Prob. 11GPCh. 7.5 - Prob. 12GPCh. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 - Prob. 40ECh. 7.5 - Prob. 41ECh. 7.5 - Prob. 42ECh. 7.5 - Prob. 43PSCh. 7.5 - Prob. 44PSCh. 7.5 - Prob. 45PSCh. 7.5 - Prob. 46PSCh. 7.5 - Prob. 47PSCh. 7.5 - Prob. 48PSCh. 7.5 - Prob. 1QCh. 7.5 - Prob. 2QCh. 7.5 - Prob. 3QCh. 7.5 - Prob. 4QCh. 7.5 - Prob. 5QCh. 7.5 - Prob. 6QCh. 7.5 - Prob. 7QCh. 7.5 - Prob. 8QCh. 7.5 - Prob. 9QCh. 7.5 - Prob. 10QCh. 7.5 - Prob. 11QCh. 7.5 - Prob. 12QCh. 7.5 - Prob. 13QCh. 7.5 - Prob. 14QCh. 7.5 - Prob. 15QCh. 7.5 - Prob. 16QCh. 7.5 - Prob. 17QCh. 7.5 - Prob. 18QCh. 7.5 - Prob. 19QCh. 7.5 - Prob. 1PCh. 7.5 - Prob. 2PCh. 7.5 - Prob. 3PCh. 7.5 - Prob. 4PCh. 7.5 - Prob. 5PCh. 7.5 - Prob. 6PCh. 7.5 - Prob. 1.1PCh. 7.5 - Prob. 1.2PCh. 7.5 - Prob. 1.3PCh. 7.5 - Prob. 1.4PCh. 7.5 - Prob. 1.5PCh. 7.5 - Prob. 1.6PCh. 7.5 - Prob. 1.7PCh. 7.5 - Prob. 1.8PCh. 7.5 - Prob. 1.9PCh. 7.5 - Prob. 1.10PCh. 7.5 - Prob. 1.11PCh. 7.5 - Prob. 1.12PCh. 7.5 - Prob. 1MRPSCh. 7.5 - Prob. 2MRPSCh. 7.5 - Prob. 3MRPSCh. 7.5 - Prob. 4MRPSCh. 7.5 - Prob. 5MRPSCh. 7.5 - Prob. 6MRPSCh. 7.5 - Prob. 7MRPSCh. 7.5 - Prob. 8MRPSCh. 7.5 - Prob. 9MRPSCh. 7 - Prob. 1VECh. 7 - Prob. 2VECh. 7 - Prob. 3VECh. 7 - Prob. 4VECh. 7 - Prob. 5REAECh. 7 - Prob. 6REAECh. 7 - Prob. 7REAECh. 7 - Prob. 8REAECh. 7 - Prob. 9REAECh. 7 - Prob. 10REAECh. 7 - Prob. 11REAECh. 7 - Prob. 12REAECh. 7 - Prob. 13REAECh. 7 - Prob. 14REAECh. 7 - Prob. 15REAECh. 7 - Prob. 16REAECh. 7 - Prob. 17REAECh. 7 - Prob. 18REAECh. 7 - Prob. 19REAECh. 7 - Prob. 20REAECh. 7 - Prob. 21REAECh. 7 - Prob. 22REAECh. 7 - Prob. 23REAECh. 7 - Prob. 24REAECh. 7 - Prob. 25REAECh. 7 - Prob. 26REAECh. 7 - Prob. 27REAECh. 7 - Prob. 28REAECh. 7 - Prob. 29REAECh. 7 - Prob. 30REAECh. 7 - Prob. 31REAECh. 7 - Prob. 32REAECh. 7 - Prob. 33REAECh. 7 - Prob. 34REAECh. 7 - Prob. 35REAECh. 7 - Prob. 36REAECh. 7 - Prob. 37REAECh. 7 - Prob. 38REAECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - Prob. 10TCh. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - Prob. 13TCh. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - Prob. 16TCh. 7 - Prob. 17TCh. 7 - Prob. 18TCh. 7 - Prob. 19TCh. 7 - Prob. 20TCh. 7 - Prob. 21TCh. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Prob. 24TCh. 7 - Prob. 25TCh. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 28TCh. 7 - Prob. 29TCh. 7 - Prob. 30TCh. 7 - Prob. 31TCh. 7 - Prob. 32TCh. 7 - Prob. 33TCh. 7 - Prob. 1PCh. 7 - 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