Which of the following arguments is an example of inductive reasoning? O The list of successive numbers consists of multiples of 5, so it seems reasonable to conclude that the number that will appear in the nth place is a, = 5n, where n is natural number. O Each successive number is 4 larger than the last. Thus, we predict that the next number after 16 is 16 + 4 which is 20. O All integers ending in 0 or 5 are divisible by 5. Since 1005 ends in 5. Therefore, it is divisible by 5. O The sum of any two even counting numbers is always an even counting number.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Which of the following arguments is an example of inductive reasoning?
O The list of successive numbers consists of multiples of 5, so it seems reasonable to conclude that the number
that will appear in the nth place is a, = 5n, where n is natural number.
O Each successive number is 4 larger than the last. Thus, we predict that the next number after 16 is 16 + 4 which is
20.
O All integers ending in 0 or 5 are divisible by 5. Since 1005 ends in 5. Therefore, it is divisible by 5.
O The sum of any two even counting numbers is always an even counting number.
Transcribed Image Text:Which of the following arguments is an example of inductive reasoning? O The list of successive numbers consists of multiples of 5, so it seems reasonable to conclude that the number that will appear in the nth place is a, = 5n, where n is natural number. O Each successive number is 4 larger than the last. Thus, we predict that the next number after 16 is 16 + 4 which is 20. O All integers ending in 0 or 5 are divisible by 5. Since 1005 ends in 5. Therefore, it is divisible by 5. O The sum of any two even counting numbers is always an even counting number.
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