Chapter 15 • Class 11 Mathematics
Principle of Mathematical Induction
Class 11 Maths Principle of Mathematical Induction — the base case and inductive step, the domino intuition, and proving summation formulas, divisibility statements and inequalities like Bernoulli’s by induction.
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1
The Principle of Mathematical Induction
Some statements in mathematics are claimed to hold for every natural number — for instance " " or " ". You cannot check infinitely many cases one by o…
Start this topic → 2Proving Summation and Divisibility Statements
The two workhorse uses of induction in the Class-11 syllabus are proving summation formulas and proving divisibility statements . Both follow the same…
Start this topic → 3Inequalities and Further Applications
Induction is just as powerful for inequalities as for equalities, but the inductive step needs a slightly different reflex. With an equality you trans…
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