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Inductive Reasoning
Definition of Inductive Reasoning
- Inductive reasoning means to arrive at a conclusion based on several observations.
Examples of Inductive Reasoning
- The rule for the sequence below is
 , where  .
1, 4, 8, 16, . . .
The conclusion about the rule for the sequence above is reached based on the pattern seen in the sequence. This is called inductive reasoning.
Solved Example on Inductive Reasoning
Identify the pattern formed by the numbers
3, 7, 13, 21, 31, . . .
Use this pattern to find next two numbers.
Choices:
A. 43, 57
B. 42, 56
C. 41, 55
D. 44, 59
Correct Answer: A
Step 1: Try and identify a pattern:
Step 2: In this pattern, the nth number is obtained by increasing the previous number by 2n.
Step 3: So, the 6th number will be 31 + 2 × 6 = 31 + 12 = 43
Step 4: The 7th number will be 43 + 2 × 7 = 43 + 14 = 57.
Step 5: Therefore, the next two numbers are 43, 57.
Related Terms for Inductive Reasoning
Additional Links for Inductive Reasoning
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