Find Available Covid Vaccination Slots: https://cowintrack.com/


Principle of mathematical induction Section- 1

1.For all n∈N, 3n5 + 5n³ + 7n is divisible by






2. {1 – (1/2)}{1 – (1/3)}{1 – (1/4)} ……. {1 – 1/(n + 1)} =






3.For all n ∈ N, 32n + 7 is divisible by






4. The sum of the series 1 + 2 + 3 + 4 + 5 + ………..n is






5.The sum of the series 1² + 2² + 3² + ……….. n² is






6.For all positive integers n, the number n(n² − 1) is divisible by:






7.If n is an odd positive integer, then aⁿ + bⁿ is divisible by :






8.n(n + 1) (n + 5) is a multiple of ____ for all n ∈ N






9.For any natural number n, 7ⁿ – 2ⁿ is divisible by






10.The sum of the series 1³ + 2³ + 3³ + ………..n³ is






11.(1² + 2² + …… + n²) _____ for all values of n ∈ N






12. {1/(3 ∙ 5)} + {1/(5 ∙ 7)} + {1/(7 ∙ 9)} + ……. + 1/{(2n + 1) (2n + 3)} =






13. If n is an odd positive integer, then aⁿ + bⁿ is divisible by :






14.(2 ∙ 7N + 3 ∙ 5N – 5) is divisible by ……….. for all N ∈ N






15. For all n∈N, 52n − 1 is divisible by






Post a Comment

Previous Post Next Post