Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Expert Solution & Answer
Chapter 7.4, Problem 37PS
Solution
To calculate : The total distance the person swings if a person is given one push on tire swing and then allowed to swing freely. The person travels a distance of
The total distance a person swings is
Given information :
A person is given one push on tire swing and then allowed to swing freely. The person travels a distance of
Formula used : The sum of infinite geometric series with first term
Here,
Calculation :
It can be observed that the person swings by one swing and every next swing is equal to
On the first swing the person travels distance of
So,
On the second swing, the person travels
So,
Similarly,
It can be seen that, the sequence forms a geometric sequence with value of
Observe all the terms as follows.
The general rule for the given geometric sequence is formed as
For the given series the value of
The sum of series can only exist if the common ratio is
Then the sum of infinite geometric series is calculated using the formula
Thus, the total distance a person swings is
Chapter 7 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
Ch. 7.1 - Prob. 1GPCh. 7.1 - Prob. 2GPCh. 7.1 - Prob. 3GPCh. 7.1 - Prob. 4GPCh. 7.1 - Prob. 5GPCh. 7.1 - Prob. 6GPCh. 7.1 - Prob. 7GPCh. 7.1 - Prob. 8GPCh. 7.1 - Prob. 9GPCh. 7.1 - Prob. 10GP
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 - Prob. 2PCh. 7 - Prob. 1TPCh. 7 - Prob. 2TPCh. 7 - Prob. 3TPCh. 7 - Prob. 4TPCh. 7 - Prob. 5TPCh. 7 - Prob. 6TPCh. 7 - Prob. 7TPCh. 7 - Prob. 8TPCh. 7 - Prob. 9TPCh. 7 - Prob. 10TPCh. 7 - Prob. 11TPCh. 7 - Prob. 12TPCh. 7 - Prob. 13TPCh. 7 - Prob. 14TPCh. 7 - Prob. 15TPCh. 7 - Prob. 16TPCh. 7 - Prob. 17TPCh. 7 - Prob. 18TPCh. 7 - Prob. 19TPCh. 7 - Prob. 20TP
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