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1.
For all positive integral values of 
is divisible by
is divisible by
2.
to 
terms 
to terms
3.
then which one of the following holds for all 
, by the principle of mathematical induction?
then which one of the following holds for all , by the principle of mathematical induction?
4.
If 
is
is
5.
For a positive integer , Let 
Then
, Let Then
6.
If 
, then for 
is equal to
, then for is equal to
7.
The sum of the cubes of three consecutive natural numbers is divisible by
8.
For all 
9.
The product of three consecutive natural numbers is divisible by
10.
For all 
is divisible by
is divisible by