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Principle of Mathematical Induction MCQs with answers
Dear candidates you will find MCQ questions of 11th Class - Math | Chapter: Principle of Mathematical Induction here. Learn these questions and prepare yourself for coming examinations. You can check the right answer of any question by clicking the option or by clicking view answer button.
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Q. If n is an odd positive integer, then an + bn is divisible by
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(B)
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Q. 1/(1 ∙ 2) + 1/(2 ∙ 3) + 1/(3 ∙ 4) + ….. + 1/{n(n + 1)}
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(B)
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Q. The sum of the series 1² + 2² + 3² + ………..n² is
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(D)
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Q. {1 – (1/2)}{1 – (1/3)}{1 – (1/4)} ……. {1 – 1/(n + 1)} =
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Q. For any natural number n, 7n – 2n is divisible by
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Q. 1/(1 ∙ 2 ∙ 3) + 1/(2 ∙ 3 ∙ 4) + …….. + 1/{n(n + 1)(n + 2)} =
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Q. The nth terms of the series 3 + 7 + 13 + 21 +………. is
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Q. n(n + 1)(n + 5) is a multiple of ____ for all n ∈ N
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Q. Find the number of shots arranged in a complete pyramid the base of which is an equilateral triangle, each side containing n shots.
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Q. For any natural number n, 7n – 2n is divisible by
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Q. For all n ∈ N, 3×52n+1 + 23n+1 is divisible by
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Q. (1 + x)n ≥ ____ for all n ∈ N,where x > -1
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Q. 102n-1 + 1 is divisible by ____ for all N ∈ N
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Q. For all n∈N, 72n − 48n−1 is divisible by
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Q. The sum of the series 1² + 2² + 3² + ………..n² is
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Q. {1/(3 ∙ 5)} + {1/(5 ∙ 7)} + {1/(7 ∙ 9)} + ……. + 1/{(2n + 1)(2n + 3)} =
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(C)
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