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
bartleby

Videos

Question
Book Icon
Chapter 7.4, Problem 3AE
To determine

To modify the program again so that another pair of starting number is used and the first thirty terms are computed. RUN the program and conclude the results.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given:

The sequence 1, 1, 2, 3, 5, 8, 13, 21, … is called a Fibonacci sequence. The first two terms are 1 and 1. You then add two consecutive terms to get the next term.

Calculation:

The first two numbers for the new sequence are 3 and 11.

Hence the modified Fibonacci sequence will be

  3, 11, 14, 25, 39, 64, …

The following computer program computes the first 25 terms of the modified Fibonacci sequence shown above and finds the ratio of any term to its preceding term.

Let A, B, N, D, E, F, G and C be the variables used in program. Where A and B stand for the first two numbers in the sequence, N stands for the number of terms, D, E, F and G are used to find the ratio up to four decimal places, C stands for the next term in the sequence which is actually the sum of A and B. Consider the program below

Program:

'Print this statement "TERM NO. TERM RATIO" on output screen.

10 PRINT "TERM NO.", "TERM", "RATIO"

'Assign the first two terms to A and B

20 LET A=5

30 LET B=7

40 PRINT “1”, A,”-“

50 FOR N=2 TO 25

60 LET D=B/A

70 LET E=10000 × D

80 LET F=INT (E)

90 LET G=F/10000

100 PRINT N, B, G

110 LET C=B+A

120 LET A=B

130 LET B=C

140 NEXT N

'End of Program

150 END

Sample Output:

TERM NO. TERM RATIO

1 5 -

2 7 1.4

3 12 1.7142

4 19 1.5833

5 31 1.6315

6 50 1.6129

7 81 1.62

8 131 1.6172

9 212 1.6183

10 343 1.6179

11 555 1.618

12 898 1.618

13 1453 1.618

14 2351 1.618

15 3804 1.618

16 6155 1.618

17 9959 1.618

18 16114 1.618

19 26073 1.618

20 42187 1.618

21 68260 1.618

22 110447 1.618

23 178707 1.618

24 289154 1.618

25 467861 1.618

26 757015 1.618

27 1224876 1.618

28 1981891 1.618

29 3206767 1.618

30 5188658 1.618

Output Explanation:

Print the heading line for the table

TERM NO. TERM RATIO

Print the first term in the Fibonacci sequence

1 5 -

Print the remaining terms starting from term number 2 to term number 30

2 7 1.4

3 12 1.7142

4 19 1.5833

5 31 1.6315

6 50 1.6129

7 81 1.62

8 131 1.6172

9 212 1.6183

10 343 1.6179

11 555 1.618

12 898 1.618

13 1453 1.618

14 2351 1.618

15 3804 1.618

16 6155 1.618

17 9959 1.618

18 16114 1.618

19 26073 1.618

20 42187 1.618

21 68260 1.618

22 110447 1.618

23 178707 1.618

24 289154 1.618

25 467861 1.618

26 757015 1.618

27 1224876 1.618

28 1981891 1.618

29 3206767 1.618

30 5188658 1.618

As the terms become larger, the ratio converges to the value 1.618

Previous
Chapter 7.4, Problem 2AE
Next
Chapter 7.4, Problem 4AE

Chapter 7 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 7.1 - Prob. 1CECh. 7.1 - Prob. 2CECh. 7.1 - Prob. 3CECh. 7.1 - Prob. 4CECh. 7.1 - Prob. 5CECh. 7.1 - Prob. 6CECh. 7.1 - Prob. 7CECh. 7.1 - Prob. 8CECh. 7.1 - Prob. 9CECh. 7.1 - Prob. 10CE
Ch. 7.1 - Prob. 11CECh. 7.1 - Prob. 12CECh. 7.1 - Prob. 13CECh. 7.1 - Prob. 14CECh. 7.1 - Prob. 15CECh. 7.1 - Prob. 16CECh. 7.1 - Prob. 17CECh. 7.1 - Prob. 18CECh. 7.1 - Prob. 1WECh. 7.1 - Prob. 2WECh. 7.1 - Prob. 3WECh. 7.1 - Prob. 4WECh. 7.1 - Prob. 5WECh. 7.1 - Prob. 6WECh. 7.1 - Prob. 7WECh. 7.1 - Prob. 8WECh. 7.1 - Prob. 9WECh. 7.1 - Prob. 10WECh. 7.1 - Prob. 11WECh. 7.1 - Prob. 12WECh. 7.1 - Prob. 13WECh. 7.1 - Prob. 14WECh. 7.1 - Prob. 15WECh. 7.1 - Prob. 16WECh. 7.1 - Prob. 17WECh. 7.1 - Prob. 18WECh. 7.1 - Prob. 19WECh. 7.1 - Prob. 20WECh. 7.1 - Prob. 21WECh. 7.1 - Prob. 22WECh. 7.1 - Prob. 23WECh. 7.1 - Prob. 24WECh. 7.1 - Prob. 25WECh. 7.1 - Prob. 26WECh. 7.1 - Prob. 27WECh. 7.1 - Prob. 28WECh. 7.1 - Prob. 29WECh. 7.1 - Prob. 30WECh. 7.1 - Prob. 31WECh. 7.1 - Prob. 32WECh. 7.1 - Prob. 33WECh. 7.1 - Prob. 34WECh. 7.1 - Prob. 35WECh. 7.1 - Prob. 36WECh. 7.2 - Prob. 1CECh. 7.2 - Prob. 2CECh. 7.2 - Prob. 3CECh. 7.2 - Prob. 4CECh. 7.2 - Prob. 5CECh. 7.2 - Prob. 6CECh. 7.2 - Prob. 7CECh. 7.2 - Prob. 8CECh. 7.2 - Prob. 9CECh. 7.2 - Prob. 10CECh. 7.2 - Prob. 11CECh. 7.2 - Prob. 12CECh. 7.2 - Prob. 13CECh. 7.2 - Prob. 14CECh. 7.2 - Prob. 15CECh. 7.2 - Prob. 16CECh. 7.2 - Prob. 1WECh. 7.2 - Prob. 2WECh. 7.2 - Prob. 3WECh. 7.2 - Prob. 4WECh. 7.2 - Prob. 5WECh. 7.2 - Prob. 6WECh. 7.2 - Prob. 7WECh. 7.2 - Prob. 8WECh. 7.2 - Prob. 9WECh. 7.2 - Prob. 10WECh. 7.2 - Prob. 11WECh. 7.2 - Prob. 12WECh. 7.2 - Prob. 13WECh. 7.2 - Prob. 14WECh. 7.2 - Prob. 15WECh. 7.2 - Prob. 16WECh. 7.2 - Prob. 17WECh. 7.2 - Prob. 18WECh. 7.2 - Prob. 19WECh. 7.2 - Prob. 20WECh. 7.2 - Prob. 21WECh. 7.2 - Prob. 22WECh. 7.2 - Prob. 23WECh. 7.2 - Prob. 24WECh. 7.2 - Prob. 25WECh. 7.2 - Prob. 26WECh. 7.2 - Prob. 27WECh. 7.2 - Prob. 28WECh. 7.2 - Prob. 29WECh. 7.2 - Prob. 30WECh. 7.2 - Prob. 31WECh. 7.2 - Prob. 32WECh. 7.2 - Prob. 33WECh. 7.2 - Prob. 34WECh. 7.2 - Prob. 35WECh. 7.2 - Prob. 36WECh. 7.2 - Prob. 37WECh. 7.2 - Prob. 38WECh. 7.2 - Prob. 39WECh. 7.2 - Prob. 40WECh. 7.2 - Prob. 41WECh. 7.2 - Prob. 42WECh. 7.2 - Prob. 43WECh. 7.3 - Prob. 1CECh. 7.3 - Prob. 2CECh. 7.3 - Prob. 3CECh. 7.3 - Prob. 4CECh. 7.3 - Prob. 5CECh. 7.3 - Prob. 6CECh. 7.3 - Prob. 7CECh. 7.3 - Prob. 8CECh. 7.3 - Prob. 9CECh. 7.3 - Prob. 10CECh. 7.3 - Prob. 1WECh. 7.3 - Prob. 2WECh. 7.3 - Prob. 3WECh. 7.3 - Prob. 4WECh. 7.3 - Prob. 5WECh. 7.3 - Prob. 6WECh. 7.3 - Prob. 7WECh. 7.3 - Prob. 8WECh. 7.3 - Prob. 9WECh. 7.3 - Prob. 10WECh. 7.3 - Prob. 11WECh. 7.3 - Prob. 12WECh. 7.3 - Prob. 13WECh. 7.3 - Prob. 14WECh. 7.3 - Prob. 15WECh. 7.3 - Prob. 16WECh. 7.3 - Prob. 17WECh. 7.3 - Prob. 18WECh. 7.3 - Prob. 19WECh. 7.3 - Prob. 20WECh. 7.3 - Prob. 21WECh. 7.3 - Prob. 22WECh. 7.3 - Prob. 23WECh. 7.3 - Prob. 24WECh. 7.3 - Prob. 25WECh. 7.3 - Prob. 26WECh. 7.3 - Prob. 27WECh. 7.3 - Prob. 28WECh. 7.3 - Prob. 29WECh. 7.3 - Prob. 30WECh. 7.3 - Prob. 31WECh. 7.3 - Prob. 32WECh. 7.3 - Prob. 33WECh. 7.3 - Prob. 34WECh. 7.3 - Prob. 35WECh. 7.3 - Prob. 36WECh. 7.3 - Prob. 37WECh. 7.3 - Prob. 1ST1Ch. 7.3 - Prob. 2ST1Ch. 7.3 - Prob. 3ST1Ch. 7.3 - Prob. 4ST1Ch. 7.3 - Prob. 5ST1Ch. 7.3 - Prob. 6ST1Ch. 7.3 - Prob. 7ST1Ch. 7.3 - Prob. 8ST1Ch. 7.3 - Prob. 9ST1Ch. 7.3 - Prob. 10ST1Ch. 7.3 - Prob. 11ST1Ch. 7.3 - Prob. 12ST1Ch. 7.3 - Prob. 13ST1Ch. 7.3 - Prob. 14ST1Ch. 7.3 - Prob. 15ST1Ch. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.4 - Prob. 1CECh. 7.4 - Prob. 2CECh. 7.4 - Prob. 3CECh. 7.4 - Prob. 4CECh. 7.4 - Prob. 5CECh. 7.4 - Prob. 6CECh. 7.4 - Prob. 7CECh. 7.4 - Prob. 8CECh. 7.4 - Prob. 9CECh. 7.4 - Prob. 10CECh. 7.4 - Prob. 11CECh. 7.4 - Prob. 12CECh. 7.4 - Prob. 13CECh. 7.4 - Prob. 1WECh. 7.4 - Prob. 2WECh. 7.4 - Prob. 3WECh. 7.4 - Prob. 4WECh. 7.4 - Prob. 5WECh. 7.4 - Prob. 6WECh. 7.4 - Prob. 7WECh. 7.4 - Prob. 8WECh. 7.4 - Prob. 9WECh. 7.4 - Prob. 10WECh. 7.4 - Prob. 11WECh. 7.4 - Prob. 12WECh. 7.4 - Prob. 13WECh. 7.4 - Prob. 14WECh. 7.4 - Prob. 15WECh. 7.4 - Prob. 16WECh. 7.4 - Prob. 17WECh. 7.4 - Prob. 18WECh. 7.4 - Prob. 19WECh. 7.4 - Prob. 20WECh. 7.4 - Prob. 21WECh. 7.4 - Prob. 22WECh. 7.4 - Prob. 23WECh. 7.4 - Prob. 24WECh. 7.4 - Prob. 25WECh. 7.4 - Prob. 26WECh. 7.4 - Prob. 27WECh. 7.4 - Prob. 28WECh. 7.4 - Prob. 29WECh. 7.4 - Prob. 30WECh. 7.4 - Prob. 31WECh. 7.4 - Prob. 32WECh. 7.4 - Prob. 33WECh. 7.4 - Prob. 34WECh. 7.4 - Prob. 35WECh. 7.4 - Prob. 1CCh. 7.4 - Prob. 2CCh. 7.4 - Prob. 1AECh. 7.4 - Prob. 2AECh. 7.4 - Prob. 3AECh. 7.4 - Prob. 4AECh. 7.4 - Prob. 1BECh. 7.4 - Prob. 2BECh. 7.4 - Prob. 3BECh. 7.4 - Prob. 4BECh. 7.5 - Prob. 1CECh. 7.5 - Prob. 2CECh. 7.5 - Prob. 3CECh. 7.5 - Prob. 4CECh. 7.5 - Prob. 5CECh. 7.5 - Prob. 6CECh. 7.5 - Prob. 7CECh. 7.5 - Prob. 8CECh. 7.5 - Prob. 9CECh. 7.5 - Prob. 1WECh. 7.5 - Prob. 2WECh. 7.5 - Prob. 3WECh. 7.5 - Prob. 4WECh. 7.5 - Prob. 5WECh. 7.5 - Prob. 6WECh. 7.5 - Prob. 7WECh. 7.5 - Prob. 8WECh. 7.5 - Prob. 9WECh. 7.5 - Prob. 10WECh. 7.5 - Prob. 11WECh. 7.5 - Prob. 12WECh. 7.5 - Prob. 13WECh. 7.5 - Prob. 14WECh. 7.5 - Prob. 15WECh. 7.5 - Prob. 16WECh. 7.5 - Prob. 17WECh. 7.5 - Prob. 18WECh. 7.5 - Prob. 19WECh. 7.5 - Prob. 20WECh. 7.5 - Prob. 21WECh. 7.5 - Prob. 22WECh. 7.5 - Prob. 23WECh. 7.5 - Prob. 1MRECh. 7.5 - Prob. 2MRECh. 7.6 - Prob. 1CECh. 7.6 - Prob. 2CECh. 7.6 - Prob. 3CECh. 7.6 - Prob. 4CECh. 7.6 - Prob. 5CECh. 7.6 - Prob. 6CECh. 7.6 - Prob. 7CECh. 7.6 - Prob. 8CECh. 7.6 - Prob. 9CECh. 7.6 - Prob. 1WECh. 7.6 - Prob. 2WECh. 7.6 - Prob. 3WECh. 7.6 - Prob. 4WECh. 7.6 - Prob. 5WECh. 7.6 - Prob. 6WECh. 7.6 - Prob. 7WECh. 7.6 - Prob. 8WECh. 7.6 - Prob. 9WECh. 7.6 - Prob. 10WECh. 7.6 - Prob. 11WECh. 7.6 - Prob. 12WECh. 7.6 - Prob. 13WECh. 7.6 - Prob. 14WECh. 7.6 - Prob. 15WECh. 7.6 - Prob. 16WECh. 7.6 - Prob. 17WECh. 7.6 - Prob. 18WECh. 7.6 - Prob. 19WECh. 7.6 - Prob. 20WECh. 7.6 - Prob. 21WECh. 7.6 - Prob. 22WECh. 7.6 - Prob. 23WECh. 7.6 - Prob. 24WECh. 7.6 - Prob. 25WECh. 7.6 - Prob. 26WECh. 7.6 - Prob. 27WECh. 7.6 - Prob. 28WECh. 7.6 - Prob. 29WECh. 7.6 - Prob. 30WECh. 7.6 - Prob. 31WECh. 7.6 - Prob. 32WECh. 7.6 - Prob. 33WECh. 7.6 - Prob. 1ST2Ch. 7.6 - Prob. 2ST2Ch. 7.6 - Prob. 3ST2Ch. 7.6 - Prob. 4ST2Ch. 7.6 - Prob. 5ST2Ch. 7.6 - Prob. 6ST2Ch. 7.6 - Prob. 7ST2Ch. 7.6 - Prob. 8ST2Ch. 7.6 - Prob. 9ST2Ch. 7.6 - Prob. 10ST2Ch. 7.6 - Prob. 11ST2Ch. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 1ARCh. 7 - Prob. 2ARCh. 7 - Prob. 3ARCh. 7 - Prob. 4ARCh. 7 - Prob. 5ARCh. 7 - Prob. 6ARCh. 7 - Prob. 7ARCh. 7 - Prob. 8ARCh. 7 - Prob. 9ARCh. 7 - Prob. 10ARCh. 7 - Prob. 11ARCh. 7 - Prob. 12ARCh. 7 - Prob. 13ARCh. 7 - Prob. 14ARCh. 7 - Prob. 15ARCh. 7 - Prob. 16ARCh. 7 - Prob. 17ARCh. 7 - Prob. 18ARCh. 7 - Prob. 19ARCh. 7 - Prob. 20ARCh. 7 - Prob. 21ARCh. 7 - Prob. 22ARCh. 7 - Prob. 23ARCh. 7 - Prob. 24ARCh. 7 - Prob. 25ARCh. 7 - Prob. 26ARCh. 7 - Prob. 27ARCh. 7 - Prob. 28ARCh. 7 - Prob. 29ARCh. 7 - Prob. 1CURCh. 7 - Prob. 2CURCh. 7 - Prob. 3CURCh. 7 - Prob. 4CURCh. 7 - Prob. 5CURCh. 7 - Prob. 6CURCh. 7 - Prob. 7CURCh. 7 - Prob. 8CURCh. 7 - Prob. 9CURCh. 7 - Prob. 10CURCh. 7 - Prob. 11CURCh. 7 - Prob. 1MCECh. 7 - Prob. 2MCECh. 7 - Prob. 3MCECh. 7 - Prob. 4MCECh. 7 - Prob. 5MCECh. 7 - Prob. 1ASNECh. 7 - Prob. 2ASNECh. 7 - Prob. 3ASNECh. 7 - Prob. 4ASNECh. 7 - Prob. 5ASNECh. 7 - Prob. 6ASNECh. 7 - Prob. 7ASNECh. 7 - Prob. 8ASNECh. 7 - Prob. 9ASNECh. 7 - Prob. 10ASNECh. 7 - Prob. 11ASNECh. 7 - Prob. 12ASNECh. 7 - Prob. 13ASNECh. 7 - Prob. 14ASNECh. 7 - Prob. 15ASNECh. 7 - Prob. 16ASNECh. 7 - Prob. 1CPECh. 7 - Prob. 2CPECh. 7 - Prob. 3CPECh. 7 - Prob. 4CPECh. 7 - Prob. 5CPECh. 7 - Prob. 6CPECh. 7 - Prob. 7CPECh. 7 - Prob. 8CPECh. 7 - Prob. 9CPECh. 7 - Prob. 1AECh. 7 - Prob. 2AECh. 7 - Prob. 3AECh. 7 - Prob. 4AECh. 7 - Prob. 5AECh. 7 - Prob. 6AECh. 7 - Prob. 7AECh. 7 - Prob. 8AECh. 7 - Prob. 9AECh. 7 - Prob. 10AECh. 7 - Prob. 11AECh. 7 - Prob. 12AECh. 7 - Prob. 13AECh. 7 - Prob. 14AECh. 7 - Prob. 15AECh. 7 - Prob. 1PECh. 7 - Prob. 2PECh. 7 - Prob. 3PECh. 7 - Prob. 4PECh. 7 - Prob. 5PECh. 7 - Prob. 6PE

Additional Math Textbook Solutions

Find more solutions based on key concepts
In Problems 39-62, graph each function using the techniques of shifting, compressing, stretching, and/or reflec...

Precalculus

Find the additive inverse of each of the following integers. Write the answer in the simplest possible form. a....

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

Fill in each blank so that the resulting statement is true. An equation that expresses a relationship between t...

Algebra and Trigonometry (6th Edition)

CHECK POINT 1 Find a counterexample to show that the statement The product of two two-digit numbers is a three-...

Thinking Mathematically (6th Edition)

Stating the Null and Alternative Hypotheses In Exercises 25–30, write the claim as a mathematical statement. St...

Elementary Statistics: Picturing the World (7th Edition)

14. SAT Test When making a random guess for an answer to a multiple choice question on an SAT test, the possibl...

Elementary Statistics (13th Edition)

Knowledge Booster
Background pattern image
Geometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
SEE MORE TEXTBOOKS
Finite State Machine (Finite Automata); Author: Neso Academy;https://www.youtube.com/watch?v=Qa6csfkK7_I;License: Standard YouTube License, CC-BY
Finite State Machine (Prerequisites); Author: Neso Academy;https://www.youtube.com/watch?v=TpIBUeyOuv8;License: Standard YouTube License, CC-BY