This is a free lesson from our course in Algebra I
In this lesson you'll learn how to find the difference between inductive and deductive reasoning. Inductive reasoning is the use
of specific observations to broader generalizations and theories. It is also known
as the "bottom up" approach. It begins with specific observations and ends with
a conclusion that goes beyond any of the observations that led up to it. It is used
to find answers to problems like "What is the missing number in a sequence 19, 23,
31, __, 35?". (More text below video...)
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(Continued from above) The following are some specific types of sequences of math:
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Arithmetic sequence: a sequence such that each successive term is obtained from the previous term by addition or subtraction of a fixed number called a difference.
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Geometric sequence: a sequence such that each successive term is obtained from the previous term by multiplying by a fixed number called a ratio.
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Fibonacci sequence: a basic Fibonacci sequence is when two numbers are added together to get the next number in the sequence. 1, 1, 2, 3, 5, 8, 13, .... is an example of a Fibonacci sequence where the starting numbers (or seeds) are 1 and 1, and we add the two previous numbers to get the next number in the sequence.
Note that not all sequences fit into the specific patterns that are described above. Those are just the more common ones.
Deductive reasoning, on the other hand, starts from general observations
rather than specific ones. It is also called the "top-down" approach, and is the opposite of inductive reasoning.
For example: We know that all men are mortal. We also know that John is a man. Therefore,
by deductive reasoning, we can say that John is mortal.
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