prove that there are infinitely many positive integers.

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q .

Prove that the square of any positive integer is of the form 4q or 4q+1 for some integer q.

Prove that the sum of any positive integer and its square is an even number.

State whether the following statement is true or false? Justify your answer. There are infinitely many integers between any two integers.

Prove that the variance of the first n odd positive integers is the same as the variance of the first n event positive integers.

State and prove Bionomial theorem for any positive integer n.

Which of the following sets are finite or infinite:- The set of positive integers greater than 100

Which of the following sets are finite or infinite? The set of positive integers greater than 100

State whether the following sets are finite or infinite. The set of all positive integers greater than 50.