Self Studies

Principle of Ma...

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  • Question 1
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    For all positive integers n, the number 4n + 15n − 1 is divisible by :

  • Question 2
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    For all n ∈ N,72n − 48n − 1 is divisible by :

  • Question 3
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    For all n ∈ N , 52n − 1 is divisible by :

  • Question 4
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    For all n ∈ N,32n + 7 is divisible by :

  • Question 5
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    For all n ∈ N,3n5 + 5n3 + 7n is divisible by :

  • Question 6
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    The nth terms of the series 3+7+13+21+……….is =

  • Question 7
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    The nth terms of the series 4+14+30+52+80+114+….. is =

  • Question 8
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    3+13+29+51+79+………..to n terms is

  • Question 9
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    The sum of n terms of the series 13 + 33 + 53 +......... is

  • Question 10
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    If n is an odd positive integer, then a+ bis divisible by :

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