# 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.