True or False:
Median of first n natural number is `n/2`.

Find the sum of first n natural numbers.

The arithmetic mean of first n odd natural numbers is :

The mean of the cubes of the fist n natural number is

Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum opf the first n even natural numbers and sum of the first n odd natural numbers is n.

Tell whether each of the following statements is true or false: 1 is a factor of every natural number.

Find the mean and variance of the first n natural numbers.

If P(n) is the statement that the sum of first n natural numbers is divisible by n +1, prove that P(2r) is true for all r = 1, 2, 3,...... .

By the Principle of Mathematical Induction, prove the following for all n in N : 1+3+5+....... +(2n-1) =n^2 i.e. the sum of first » odd natural numbers is n^2 .