Inductive Reasoning
How to solve an inductive reasoning problem by finding its pattern: definition, 2 examples, and their solutions.
Definition
Inductive reasoning is a reasoning
that starts from [specific examples]
to get a [general conclusion],
usually by finding a [pattern]
from the specific examples.
Example
Find a pattern between the terms.
See the first two terms.
1 + 2 = 3
3 + 2 = 5
5 + 2 = 7
In this sequence, there's a pattern:
[last term] + 2 = [this term].
So the blank is 7 + 2 = 9.
So 9 is the answer.
Example
1, 1, 2, 3, 5, 8, 13, ...
This sequence is called
the Fibonacci sequence.
Find a pattern between the terms.
See the first three terms.
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
In this sequence, there's a pattern:
[sum of the last two terms] = [this term].
So the blank is 5 + 8 = 13.
So 13 is the answer.
1, 1, 2, 3, 5, 8, 13, ...
This sequence is called
the Fibonacci sequence.