McDougal Littell Jurgensen Geometry: Student Edition Geometry
McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Question
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Chapter 2.3, Problem 3E
To determine

To enter the given program and run the modified program for 30 trips and find what point the bee seems approaching.

Expert Solution & Answer
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Explanation of Solution

Given:

The bee returned one third of the way to the previous point instead of half of the way.

Calculation:

The following is the required BASIC Program-

Let variable P which locate the position of points. Bee starting from point P0 which flies to point P1 and lands where 0 and 1 are the coordinates of points. Then bee returns half of the way to P0, landing at P2. From P2, the bee returns half of the way to P1, landing on P3 and so forth. Thus through BASIC program compute and print the bee’s location after 2 to 10 trip.

Program:

Let P and N are two variables where P is use for the position of bee and N is for number of position change by bee and P(N) is the distance between the initial positions of bee to actual position of bee.

The modified program- 10 dim P(50) //P(50) shows the bee position can change 50 times.

20 LET P(0)=0

30 LET P(1)=1

40 For N=2 to 10

50 LET P(N)=P(N1)×(1/3)(N1)

60 PRINT N,P(N)

70 NEXT N

80 END

Sample Output:

2 0.66666667

3 0.77777778

4 0.74074074

5 0.75308642

6 0.74897119

7 0.75034294

8 0.74988569

9 0.7500381

10 0.7499873

11 0.75000423

12 0.74999859

13 0.75000047

14 0.74999984

15 0.75000005

16 0.74999998

17 0.75000001

18 0.75

19 0.75

20 0.75

21 0.75

22 0.75

23 0.75

24 0.75

25 0.75

26 0.75

27 0.75

28 0.75

29 0.75

30 0.75

Output Explanation:

When N is 2 then P(2) is 2/3 that is 0.666667. N is 3 then P(3) is 7/9 that is 0.777778. N is 4 P(4) is 20/27 that is 0.74074074 and so on. You have many answers from loop. But when N = 17 then P(17) = 0.75000001 and N = 18 then P(18) = 0.75 and N = 19 then again P(19) = 0.75 . Thus N from 18 to 30 then you have approximate answer that is P(18), P(19), P(20), P(21), , P(30) = 0.75 that is bee seems to be approaching distance 3/4 from initial point.

Chapter 2 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 2.1 - Prob. 11CECh. 2.1 - Prob. 12CECh. 2.1 - Prob. 13CECh. 2.1 - Prob. 14CECh. 2.1 - Prob. 15CECh. 2.1 - Prob. 16CECh. 2.1 - Prob. 1WECh. 2.1 - Prob. 2WECh. 2.1 - Prob. 3WECh. 2.1 - Prob. 4WECh. 2.1 - Prob. 5WECh. 2.1 - Prob. 6WECh. 2.1 - Prob. 7WECh. 2.1 - Prob. 8WECh. 2.1 - Prob. 9WECh. 2.1 - Prob. 10WECh. 2.1 - Prob. 11WECh. 2.1 - Prob. 12WECh. 2.1 - Prob. 13WECh. 2.1 - Prob. 14WECh. 2.1 - Prob. 15WECh. 2.1 - Prob. 16WECh. 2.1 - Prob. 17WECh. 2.1 - Prob. 18WECh. 2.1 - Prob. 19WECh. 2.1 - Prob. 20WECh. 2.1 - Prob. 21WECh. 2.1 - Prob. 22WECh. 2.1 - Prob. 23WECh. 2.1 - Prob. 24WECh. 2.1 - Prob. 25WECh. 2.1 - Prob. 26WECh. 2.1 - Prob. 27WECh. 2.1 - Prob. 28WECh. 2.1 - Prob. 29WECh. 2.1 - Prob. 30WECh. 2.1 - Prob. 31WECh. 2.1 - Prob. 1MRECh. 2.1 - Prob. 2MRECh. 2.1 - Prob. 3MRECh. 2.1 - Prob. 4MRECh. 2.2 - Prob. 1CECh. 2.2 - Prob. 2CECh. 2.2 - Prob. 3CECh. 2.2 - Prob. 4CECh. 2.2 - Prob. 5CECh. 2.2 - Prob. 6CECh. 2.2 - Prob. 7CECh. 2.2 - Prob. 8CECh. 2.2 - Prob. 9CECh. 2.2 - Prob. 10CECh. 2.2 - Prob. 11CECh. 2.2 - Prob. 12CECh. 2.2 - Prob. 1WECh. 2.2 - Prob. 2WECh. 2.2 - Prob. 3WECh. 2.2 - Prob. 4WECh. 2.2 - Prob. 5WECh. 2.2 - Prob. 6WECh. 2.2 - Prob. 7WECh. 2.2 - Prob. 8WECh. 2.2 - Prob. 9WECh. 2.2 - Prob. 10WECh. 2.2 - Prob. 11WECh. 2.2 - Prob. 12WECh. 2.2 - Prob. 13WECh. 2.2 - Prob. 14WECh. 2.2 - Prob. 15WECh. 2.3 - Prob. 1CECh. 2.3 - Prob. 2CECh. 2.3 - Prob. 3CECh. 2.3 - Prob. 4CECh. 2.3 - Prob. 5CECh. 2.3 - Prob. 6CECh. 2.3 - Prob. 7CECh. 2.3 - Prob. 8CECh. 2.3 - Prob. 9CECh. 2.3 - Prob. 10CECh. 2.3 - Prob. 1WECh. 2.3 - Prob. 2WECh. 2.3 - Prob. 3WECh. 2.3 - Prob. 4WECh. 2.3 - Prob. 5WECh. 2.3 - Prob. 6WECh. 2.3 - Prob. 7WECh. 2.3 - Prob. 8WECh. 2.3 - Prob. 9WECh. 2.3 - Prob. 10WECh. 2.3 - Prob. 11WECh. 2.3 - Prob. 12WECh. 2.3 - Prob. 13WECh. 2.3 - Prob. 14WECh. 2.3 - Prob. 15WECh. 2.3 - Prob. 16WECh. 2.3 - Prob. 17WECh. 2.3 - Prob. 18WECh. 2.3 - Prob. 19WECh. 2.3 - Prob. 20WECh. 2.3 - Prob. 21WECh. 2.3 - Prob. 22WECh. 2.3 - Prob. 1ECh. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - Prob. 1ST1Ch. 2.3 - Prob. 2ST1Ch. 2.3 - Prob. 3ST1Ch. 2.3 - Prob. 4ST1Ch. 2.3 - Prob. 5ST1Ch. 2.3 - Prob. 6ST1Ch. 2.3 - Prob. 7ST1Ch. 2.3 - Prob. 8ST1Ch. 2.4 - Prob. 1CECh. 2.4 - Prob. 2CECh. 2.4 - Prob. 3CECh. 2.4 - Prob. 4CECh. 2.4 - Prob. 5CECh. 2.4 - Prob. 6CECh. 2.4 - Prob. 7CECh. 2.4 - Prob. 8CECh. 2.4 - Prob. 9CECh. 2.4 - Prob. 10CECh. 2.4 - Prob. 11CECh. 2.4 - Prob. 12CECh. 2.4 - Prob. 13CECh. 2.4 - Prob. 14CECh. 2.4 - Prob. 15CECh. 2.4 - Prob. 16CECh. 2.4 - Prob. 17CECh. 2.4 - Prob. 18CECh. 2.4 - Prob. 19CECh. 2.4 - Prob. 20CECh. 2.4 - Prob. 21CECh. 2.4 - Prob. 1WECh. 2.4 - Prob. 2WECh. 2.4 - Prob. 3WECh. 2.4 - Prob. 4WECh. 2.4 - Prob. 5WECh. 2.4 - Prob. 6WECh. 2.4 - Prob. 7WECh. 2.4 - Prob. 8WECh. 2.4 - Prob. 9WECh. 2.4 - Prob. 10WECh. 2.4 - Prob. 11WECh. 2.4 - Prob. 12WECh. 2.4 - Prob. 13WECh. 2.4 - Prob. 14WECh. 2.4 - Prob. 15WECh. 2.4 - Prob. 16WECh. 2.4 - Prob. 17WECh. 2.4 - Prob. 18WECh. 2.4 - Prob. 19WECh. 2.4 - Prob. 20WECh. 2.4 - Prob. 21WECh. 2.4 - Prob. 22WECh. 2.4 - Prob. 23WECh. 2.4 - Prob. 24WECh. 2.4 - Prob. 25WECh. 2.4 - Prob. 26WECh. 2.4 - Prob. 27WECh. 2.4 - Prob. 28WECh. 2.4 - Prob. 29WECh. 2.4 - Prob. 30WECh. 2.4 - Prob. 31WECh. 2.4 - Prob. 32WECh. 2.4 - Prob. 33WECh. 2.4 - Prob. 34WECh. 2.4 - Prob. 35WECh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.4 - Prob. 3ECh. 2.4 - Prob. 4ECh. 2.5 - Prob. 1CECh. 2.5 - Prob. 2CECh. 2.5 - Prob. 3CECh. 2.5 - Prob. 4CECh. 2.5 - Prob. 5CECh. 2.5 - Prob. 6CECh. 2.5 - Prob. 7CECh. 2.5 - Prob. 8CECh. 2.5 - Prob. 9CECh. 2.5 - Prob. 10CECh. 2.5 - Prob. 11CECh. 2.5 - Prob. 1WECh. 2.5 - Prob. 2WECh. 2.5 - Prob. 3WECh. 2.5 - Prob. 4WECh. 2.5 - Prob. 5WECh. 2.5 - Prob. 6WECh. 2.5 - Prob. 7WECh. 2.5 - Prob. 8WECh. 2.5 - Prob. 9WECh. 2.5 - Prob. 10WECh. 2.5 - Prob. 11WECh. 2.5 - Prob. 12WECh. 2.5 - Prob. 13WECh. 2.5 - Prob. 14WECh. 2.5 - Prob. 15WECh. 2.5 - Prob. 16WECh. 2.5 - Prob. 17WECh. 2.5 - Prob. 18WECh. 2.5 - Prob. 19WECh. 2.5 - Prob. 20WECh. 2.5 - Prob. 21WECh. 2.5 - Prob. 22WECh. 2.5 - Prob. 23WECh. 2.5 - Prob. 24WECh. 2.5 - Prob. 25WECh. 2.5 - Prob. 26WECh. 2.5 - Prob. 27WECh. 2.5 - Prob. 28WECh. 2.5 - Prob. 29WECh. 2.5 - Prob. 1MRECh. 2.5 - Prob. 2MRECh. 2.5 - Prob. 3MRECh. 2.5 - Prob. 4MRECh. 2.5 - Prob. 5MRECh. 2.5 - Prob. 6MRECh. 2.5 - Prob. 7MRECh. 2.6 - Prob. 1CECh. 2.6 - Prob. 2CECh. 2.6 - Prob. 3CECh. 2.6 - Prob. 4CECh. 2.6 - Prob. 5CECh. 2.6 - Prob. 6CECh. 2.6 - Prob. 7CECh. 2.6 - Prob. 8CECh. 2.6 - Prob. 9CECh. 2.6 - Prob. 10CECh. 2.6 - Prob. 1WECh. 2.6 - Prob. 2WECh. 2.6 - Prob. 3WECh. 2.6 - Prob. 4WECh. 2.6 - Prob. 5WECh. 2.6 - Prob. 6WECh. 2.6 - Prob. 7WECh. 2.6 - Prob. 8WECh. 2.6 - Prob. 9WECh. 2.6 - Prob. 10WECh. 2.6 - Prob. 11WECh. 2.6 - Prob. 12WECh. 2.6 - Prob. 13WECh. 2.6 - Prob. 14WECh. 2.6 - Prob. 15WECh. 2.6 - Prob. 16WECh. 2.6 - Prob. 17WECh. 2.6 - Prob. 18WECh. 2.6 - Prob. 19WECh. 2.6 - Prob. 20WECh. 2.6 - Prob. 21WECh. 2.6 - Prob. 22WECh. 2.6 - Prob. 23WECh. 2.6 - Prob. 24WECh. 2.6 - Prob. 25WECh. 2.6 - Prob. 1ST2Ch. 2.6 - Prob. 2ST2Ch. 2.6 - Prob. 3ST2Ch. 2.6 - Prob. 4ST2Ch. 2.6 - Prob. 5ST2Ch. 2.6 - Prob. 6ST2Ch. 2.6 - Prob. 7ST2Ch. 2.6 - Prob. 8ST2Ch. 2.6 - Prob. 9ST2Ch. 2.6 - Prob. 1ECh. 2.6 - Prob. 2ECh. 2.6 - Prob. 3ECh. 2.6 - Prob. 4ECh. 2.6 - Prob. 5ECh. 2 - Prob. 1CRCh. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Prob. 15CRCh. 2 - Prob. 16CRCh. 2 - Prob. 17CRCh. 2 - Prob. 18CRCh. 2 - Prob. 19CRCh. 2 - Prob. 20CRCh. 2 - Prob. 1CTCh. 2 - Prob. 2CTCh. 2 - Prob. 3CTCh. 2 - Prob. 4CTCh. 2 - Prob. 5CTCh. 2 - Prob. 6CTCh. 2 - Prob. 7CTCh. 2 - Prob. 8CTCh. 2 - Prob. 9CTCh. 2 - Prob. 10CTCh. 2 - Prob. 11CTCh. 2 - Prob. 12CTCh. 2 - Prob. 1ARCh. 2 - Prob. 2ARCh. 2 - Prob. 3ARCh. 2 - Prob. 4ARCh. 2 - Prob. 5ARCh. 2 - Prob. 6ARCh. 2 - Prob. 7ARCh. 2 - Prob. 8ARCh. 2 - Prob. 9ARCh. 2 - Prob. 10ARCh. 2 - Prob. 11ARCh. 2 - Prob. 12ARCh. 2 - Prob. 13ARCh. 2 - Prob. 14ARCh. 2 - Prob. 15ARCh. 2 - Prob. 16ARCh. 2 - Prob. 17ARCh. 2 - Prob. 18ARCh. 2 - Prob. 1CURCh. 2 - Prob. 2CURCh. 2 - Prob. 3CURCh. 2 - Prob. 4CURCh. 2 - Prob. 5CURCh. 2 - Prob. 6CURCh. 2 - Prob. 7CURCh. 2 - Prob. 8CURCh. 2 - Prob. 9CURCh. 2 - Prob. 10CURCh. 2 - Prob. 11CURCh. 2 - Prob. 12CURCh. 2 - Prob. 13CURCh. 2 - Prob. 14CURCh. 2 - Prob. 15CURCh. 2 - Prob. 16CURCh. 2 - Prob. 17CURCh. 2 - Prob. 18CURCh. 2 - Prob. 19CURCh. 2 - Prob. 20CURCh. 2 - Prob. 21CURCh. 2 - Prob. 22CURCh. 2 - Prob. 23CURCh. 2 - Prob. 24CURCh. 2 - Prob. 25CUR

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