Principle Of Mathematical Induction

Question
CBSEENMA11015634

If A = open square brackets table row 1 0 row 1 1 end table close square brackets and I = open square brackets table row 1 0 row 0 1 end table close square brackets , then which one of the following holds for all n ≥ 1, by the principle of mathematical induction

  • An = nA – (n – 1)I

  • An = 2n-1A – (n – 1)I

  • An = nA + (n – 1)I

  • An = 2n-1A + (n – 1)I

Solution

A.

An = nA – (n – 1)I

By the principle of mathematical induction (1) is true.

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