Logical Reasoning
Inductive reasoning
Reasoning from specific cases to a general pattern or rule.
| English | Inductive reasoning |
|---|---|
| Bahasa Melayu | Penaakulan induktif |
| 中文 | 归纳推理 |
How it is used
Using inductive reasoning on the pattern 3, 7, 11, 15, ..., each term rises by 4, so you conclude the general rule is Tn = 4n − 1. This gives T5 = 19; the general rule is guessed from the specific cases.
Where it shows up in SPM
Inductive reasoning pairs with deductive reasoning in Form 4 and links to number-pattern work. Paper 1 asks whether reasoning is inductive.
Paper 2 asks you to make a general conclusion (often a formula for the nth term) from a list of specific cases.
Don't confuse it with
Open the chapter: Logical Reasoning →
Frequently asked questions
How is inductive reasoning used with number patterns?
You examine several terms, spot the rule connecting them, then write a general expression. From 2, 5, 10, 17, ...
the gaps are 3, 5, 7, so each term is n² + 1, giving the general rule Tn = n² + 1.
Is a conclusion from inductive reasoning always true?
No. Inductive conclusions are likely but not certain, because a later case might break the pattern.
A single counter-example can disprove a rule you inferred, so induction suggests a rule while deduction is what proves it.