1. Critical Thinking & Problem Solving

Inductive and Deductive Reasoning

1. Critical Thinking & Problem Solving

Inductive and Deductive Reasoning: Videos & Practice Problems

Video Lessons

Concept

Intro to Inductive Reasoning

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Problem

Find the next two numbers in the pattern.
$84 comma 72 comma 60 comma 48 comma$ _, _, …

$42 comma 36$

$36 comma 12$

$36 comma 24$

$42 comma 24$

Problem

Find the next two numbers in the pattern.
$one fourth comma one half comma three fourths comma 1 comma five fourths comma$ _, _, …

$\frac{3}{2}, \frac{6}{4}$

$seven fourths comma 5 over 16$

$three halves comma 5 over 16$

$\frac{3}{2}, \frac{7}{4}$

Problem

Use inductive reasoning to find the next figure in the pattern.
$Three nested squares alternating peach and yellow colors, increasing in size from left to right, forming a pattern.$

$Concentric squares alternating in yellow and orange, decreasing in size toward the center.$

$Concentric squares alternating in color, with instructions to use inductive reasoning to find the next figure.$

$Concentric squares alternating in yellow and orange, decreasing in size toward the center, forming a nested pattern.$

$Concentric squares alternating in coral and yellow colors, decreasing in size toward the center in a repeating pattern.$

Problem

Use inductive reasoning to find the next figure in the pattern.
$Four 4x4 grids showing a pattern of black squares and a blue circle moving diagonally upward to the right.$

$Grid with a black square in the second cell of the first row and a blue circle in the third cell of the second row.$

$Grid with a black square in the top left and a blue ring in the center, prompting pattern recognition.$

$Grid of nine squares with a blue ring centered in the middle square, surrounded by empty white squares.$

$A 3x3 grid with a black square in the top-left corner and a blue circle in the center square.$

Example

Intro to Inductive Reasoning Example 1

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Example

Intro to Inductive Reasoning Example 2

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Concept

Counterexamples and Limitations to Inductive Reasoning

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Example

Counterexamples and Limitations to Inductive Reasoning Example 3

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Example

Counterexamples and Limitations to Inductive Reasoning Example 4

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Concept

Deductive Reasoning

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Problem

Classify the following as either inductive or deductive reasoning.
All students must pass calculus I before they can be enrolled in calculus II. Maria is enrolled in calculus II. Thus, we conclude Maria passed calculus I.

Inductive

Deductive

Cannot be classified

Problem

Classify the following as either inductive or deductive reasoning.
Looking at the student roster for geometry, all the students on the list have already passed algebra I. Thus, we can conclude that students must pass algebra I before enrolling in geometry.

Inductive

Deductive

Cannot be classified

Example

Deductive Reasoning Example 5

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Example

Deductive Reasoning Example 6

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56s

Example

Deductive Reasoning Example 7

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42s

Example

Deductive Reasoning Example 8

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Inductive and Deductive Reasoning: Videos & Practice Problems

Intro to Inductive Reasoning

Find the next two numbers in the pattern.84,72,60,48,84,72,60,48, ___, ___, …

Find the next two numbers in the pattern.14,12,34,1,54,\(\frac\)14,\(\frac\)12,\(\frac\)34,1,\(\frac\)54, ___, ___, …

Use inductive reasoning to find the next figure in the pattern.

Use inductive reasoning to find the next figure in the pattern.

Intro to Inductive Reasoning Example 1

Intro to Inductive Reasoning Example 2

Counterexamples and Limitations to Inductive Reasoning

Counterexamples and Limitations to Inductive Reasoning Example 3

Counterexamples and Limitations to Inductive Reasoning Example 4

Deductive Reasoning

Classify the following as either inductive or deductive reasoning.All students must pass calculus I before they can be enrolled in calculus II. Maria is enrolled in calculus II. Thus, we conclude Maria passed calculus I.

Classify the following as either inductive or deductive reasoning.Looking at the student roster for geometry, all the students on the list have already passed algebra I. Thus, we can conclude that students must pass algebra I before enrolling in geometry.

Deductive Reasoning Example 5

Deductive Reasoning Example 6

Deductive Reasoning Example 7

Deductive Reasoning Example 8

Your Liberal Arts Math tutors

Find the next two numbers in the pattern.
$84 comma 72 comma 60 comma 48 comma$ _, _, …

Find the next two numbers in the pattern.
$one fourth comma one half comma three fourths comma 1 comma five fourths comma$ _, _, …

Use inductive reasoning to find the next figure in the pattern.
$Three nested squares alternating peach and yellow colors, increasing in size from left to right, forming a pattern.$

Use inductive reasoning to find the next figure in the pattern.
$Four 4x4 grids showing a pattern of black squares and a blue circle moving diagonally upward to the right.$

Classify the following as either inductive or deductive reasoning.
All students must pass calculus I before they can be enrolled in calculus II. Maria is enrolled in calculus II. Thus, we conclude Maria passed calculus I.

Classify the following as either inductive or deductive reasoning.
Looking at the student roster for geometry, all the students on the list have already passed algebra I. Thus, we can conclude that students must pass algebra I before enrolling in geometry.