Remote Space Learning - Inductive Reasoning

Lecture 07: Inductive Reasoning

Inductive reasoning involves drawing general conclusions from specific examples, which leads to forming conjectures that may not be certain but are based on observed patterns. For instance, by examining sequences of numbers or observed trends, one can predict the next item in the sequence. This reasoning is commonly used when identifying mathematical patterns and making predictions in data.

Example 1: Predicting the Next Number in a Sequence

Look at the sequence of numbers: 2, 5, 10, 17, 26. Use inductive reasoning to predict the next number in the sequence.

Solution: Start by finding the differences between consecutive numbers:

5−2=3

10−5=5

17−10=7

26−17=9

The differences form a pattern of increasing by 2 each time (3, 5, 7, 9). If this pattern continues, the next difference should be 11. Adding 11 to the last number in the sequence (26) gives 26+11=37

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