A. Use inductive reasoning to find a pattern and predict the number or figure in the list. Then make a reasonable conjecture of the following: 1) 1,2,4, 7,11, 16, 22, 29? 2) 9, 12,11,14, 13,16, 15, 18? 3) -2, 3, -4,5, -6,7?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question
Please help me to answer this question!!!!
Module 3
PROBLEM SOLVING AND REASONING
Gauge Your Learning!
A. Use inductive reasoning to find a pattern and predict the number or figure in the list.
Then make a reasonable conjecture of the following:
1) 1, 2, 4, 7,11,16, 22,29?
2) 9,12,11,14, 13, 16, 15, 18?
3) -2,3, -4,5, -6,7?
4) 2,5, 10, 17, 25?
5)
B. Find a counterexample to show that each statement is false.
6) The sum of any three odd numbers is even.
7) When an even number is added to the product of two odd numbers, the result will
be even.
8) When an odd number is squared and divided by 2, the result will be a whole
number.
C. Use inductive reasoning to make a conjecture about a rule that relates the number
you selected to the final answer. Prove your conjecture by using deductive reasoning.
9)
Pick a number:
Double it:
Subtract 20 from the answer:
Divided by 2:
Subtract the original number:
Result:
10)
Pick a number:
Multiply it by 9:
Add 21:
Divided by 3:
Subtract three times the original number:
Result:
D. Determine whether the following statements are inductive or deductive reasoning.
Write our answer after each statement.
11) Every time you eat peanuts, you start to cough. You are allergic to
peanuts.
12) 1 All brown dogs in the park today are small dogs. Therefore, all
small dogs must be brown.
13) All brown dogs in the park today are small dogs. Therefore, all small
dogs must be brown.
Transcribed Image Text:Module 3 PROBLEM SOLVING AND REASONING Gauge Your Learning! A. Use inductive reasoning to find a pattern and predict the number or figure in the list. Then make a reasonable conjecture of the following: 1) 1, 2, 4, 7,11,16, 22,29? 2) 9,12,11,14, 13, 16, 15, 18? 3) -2,3, -4,5, -6,7? 4) 2,5, 10, 17, 25? 5) B. Find a counterexample to show that each statement is false. 6) The sum of any three odd numbers is even. 7) When an even number is added to the product of two odd numbers, the result will be even. 8) When an odd number is squared and divided by 2, the result will be a whole number. C. Use inductive reasoning to make a conjecture about a rule that relates the number you selected to the final answer. Prove your conjecture by using deductive reasoning. 9) Pick a number: Double it: Subtract 20 from the answer: Divided by 2: Subtract the original number: Result: 10) Pick a number: Multiply it by 9: Add 21: Divided by 3: Subtract three times the original number: Result: D. Determine whether the following statements are inductive or deductive reasoning. Write our answer after each statement. 11) Every time you eat peanuts, you start to cough. You are allergic to peanuts. 12) 1 All brown dogs in the park today are small dogs. Therefore, all small dogs must be brown. 13) All brown dogs in the park today are small dogs. Therefore, all small dogs must be brown.
Module 3
PROBLEM SOLVING AND REASONING
14) The chair in the living room is red. The chair in the dining room is
red. The chair in the bedroom is red. All the chairs in the house are
red.
15) Every day so far, the sun has risen in the East and set in the West.
The sun will probably continue to rise in the East and set in the
West.
16) A consumer products company accepts the premise that
professional women are overloaded with family and work
responsibilities and strapped for time. From this, they can be
successful marketing hair coloring product that can be applied in
less time than their competition's hair coloring product.
17) The first two kids I met at my new school were nice to me. The
students at this school are really nice.
18) A supermarket manager believes candy products are an impulse
buy. She decides that she can sell more by placing candy displays
close to store entry paths.
19) The first three candies that I ate out of the bag were chocolates. All
of the candy in the bag is chocolate.
20) A recruiter conducts a study of recent hires who have achieved
success and stayed on with the organization. She finds that they
graduated from three local colleges, so she decides to focus
recruiting efforts on those schools.
21) A food products company identifies a trend that shows consumers
to favor organic products. Its marketing department deduces it can
boost sales by increasing the size of the lettering for the word
"organic" when redesigning their packaging.
22) A salesperson presents testimonials of current customers to
suggest to prospective clients that her products are high quality
and worth the purchase.
23) A bartender becomes aware that customers give her higher tips
when she shares personal information, so she intentionally starts
to divulge personal information when it feels appropriate to do so.
24) Cacti are plants and all plants perform photosynthesis; therefore,
cacti perform photosynthesis.
25) We had rained each day for the last five days, so it will rair
Transcribed Image Text:Module 3 PROBLEM SOLVING AND REASONING 14) The chair in the living room is red. The chair in the dining room is red. The chair in the bedroom is red. All the chairs in the house are red. 15) Every day so far, the sun has risen in the East and set in the West. The sun will probably continue to rise in the East and set in the West. 16) A consumer products company accepts the premise that professional women are overloaded with family and work responsibilities and strapped for time. From this, they can be successful marketing hair coloring product that can be applied in less time than their competition's hair coloring product. 17) The first two kids I met at my new school were nice to me. The students at this school are really nice. 18) A supermarket manager believes candy products are an impulse buy. She decides that she can sell more by placing candy displays close to store entry paths. 19) The first three candies that I ate out of the bag were chocolates. All of the candy in the bag is chocolate. 20) A recruiter conducts a study of recent hires who have achieved success and stayed on with the organization. She finds that they graduated from three local colleges, so she decides to focus recruiting efforts on those schools. 21) A food products company identifies a trend that shows consumers to favor organic products. Its marketing department deduces it can boost sales by increasing the size of the lettering for the word "organic" when redesigning their packaging. 22) A salesperson presents testimonials of current customers to suggest to prospective clients that her products are high quality and worth the purchase. 23) A bartender becomes aware that customers give her higher tips when she shares personal information, so she intentionally starts to divulge personal information when it feels appropriate to do so. 24) Cacti are plants and all plants perform photosynthesis; therefore, cacti perform photosynthesis. 25) We had rained each day for the last five days, so it will rair
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,