If n is an integer and `n^2` is odd, then n is also odd.

Write the converses of the following statements. Also, devide in each case whether the converse is true or false. : If an integer is odd, then its square is an odd integer.

State the converses of the following statement. In each case, also decide whether the converse is true or false.:- If n is an even integer, then 2n + 1 is an odd integer.

Write the converse of the following statement : If a number n is odd, then n^2 is odd.

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. If n is odd , the value of sum_(r-1)^(2) a_(2r -1) is

If n is a positive integer, then find int x^n dx

If n is an odd integer greater than or equal to 1, then the value of n^3 - (n-1)^3 + (n-2)^3 - (n-3)^3 + .... + (-1)^(n-1) 1^3

If a skew -symmetric A is order n xx n , where n is odd then A^(n) is :

By giving a counter example, show that the following statement is false. "If n is an odd integer, then n is prime.”

Using the words necessary and sufficient rewrite the statement. The integer n is odd if and only if n^2 is odd Also choice whether the statement is true.

If A is a skew-symmetric matrix and n is odd positive integer, then A^n is a skew-symmetric matrix a symmetric matrix a diagonal matrix none of these