Please help me to answer this question!!!! Module 3PROBLEM SOLVING AND REASONINGGauge 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 willbe even.8) When an odd number is squared and divided by 2, the result will be a wholenumber.C. Use inductive reasoning to make a conjecture about a rule that relates the numberyou 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 topeanuts.12) 1 All brown dogs in the park today are small dogs. Therefore, allsmall dogs must be brown.13) All brown dogs in the park today are small dogs. Therefore, all smalldogs must be brown. Module 3PROBLEM SOLVING AND REASONING14) The chair in the living room is red. The chair in the dining room isred. The chair in the bedroom is red. All the chairs in the house arered.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 theWest.16) A consumer products company accepts the premise thatprofessional women are overloaded with family and workresponsibilities and strapped for time. From this, they can besuccessful marketing hair coloring product that can be applied inless time than their competition's hair coloring product.17) The first two kids I met at my new school were nice to me. Thestudents at this school are really nice.18) A supermarket manager believes candy products are an impulsebuy. She decides that she can sell more by placing candy displaysclose to store entry paths.19) The first three candies that I ate out of the bag were chocolates. Allof the candy in the bag is chocolate.20) A recruiter conducts a study of recent hires who have achievedsuccess and stayed on with the organization. She finds that theygraduated from three local colleges, so she decides to focusrecruiting efforts on those schools.21) A food products company identifies a trend that shows consumersto favor organic products. Its marketing department deduces it canboost sales by increasing the size of the lettering for the word"organic" when redesigning their packaging.22) A salesperson presents testimonials of current customers tosuggest to prospective clients that her products are high qualityand worth the purchase.23) A bartender becomes aware that customers give her higher tipswhen she shares personal information, so she intentionally startsto 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

Name: Please help me to answer this question!!!! Module 3PROBLEM SOLVING AND
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Description: Please help me to answer this question!!!! Module 3PROBLEM SOLVING AND REASONINGGauge 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,

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Please help me to answer this question!!!! Module 3PROBLEM SOLVING AND REASONINGGauge 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 willbe even.8) When an odd number is squared and divided by 2, the result will be a wholenumber.C. Use inductive reasoning to make a conjecture about a rule that relates the numberyou 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 topeanuts.12) 1 All brown dogs in the park today are small dogs. Therefore, allsmall dogs must be brown.13) All brown dogs in the park today are small dogs. Therefore, all smalldogs must be brown. Module 3PROBLEM SOLVING AND REASONING14) The chair in the living room is red. The chair in the dining room isred. The chair in the bedroom is red. All the chairs in the house arered.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 theWest.16) A consumer products company accepts the premise thatprofessional women are overloaded with family and workresponsibilities and strapped for time. From this, they can besuccessful marketing hair coloring product that can be applied inless time than their competition's hair coloring product.17) The first two kids I met at my new school were nice to me. Thestudents at this school are really nice.18) A supermarket manager believes candy products are an impulsebuy. She decides that she can sell more by placing candy displaysclose to store entry paths.19) The first three candies that I ate out of the bag were chocolates. Allof the candy in the bag is chocolate.20) A recruiter conducts a study of recent hires who have achievedsuccess and stayed on with the organization. She finds that theygraduated from three local colleges, so she decides to focusrecruiting efforts on those schools.21) A food products company identifies a trend that shows consumersto favor organic products. Its marketing department deduces it canboost sales by increasing the size of the lettering for the word&#34;organic&#34; when redesigning their packaging.22) A salesperson presents testimonials of current customers tosuggest to prospective clients that her products are high qualityand worth the purchase.23) A bartender becomes aware that customers give her higher tipswhen she shares personal information, so she intentionally startsto 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

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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?