Explanation Definition: Inductive reasoning is a method which arrives at a general conclusion from the observation of a pattern in specific instances. This arrived conclusion is called a hypothesis or conjecture. It begins with specific examples. Calculation: Consider the provided sequence of numbers. 3 , 4 , 10 , 18 , 38 , 74 , .... Observe the pattern in the provided sequence and then determine the next three terms of the sequence. Since it follows a pattern, inductive reasoning is used. The sequence of numbers shows that the next term is obtained by multiplying the term before previous term by 2 and adding 4 to the product. This can be explained as, 3 ⋅ 2 + 4 = 10 4 ⋅ 2 + 10 <

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Chapter 1.2, Problem 58E

To determine

To find:

The next three terms of the sequence 3,4,10,18,38,74,.....

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Chapter 1.2, Problem 57E

Chapter 1.2, Problem 59E

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Ch. 1.1 - In Exercise 1-4, draw a picture to illustrate each...Ch. 1.1 - In Exercises 1-4, draw a picture to illustrate...Ch. 1.1 - In Exercise 1-4, draw a picture to illustrate each...Ch. 1.1 - In Exercises 1-4, draw a picture to illustrate...Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

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