Tube lessons

1)

The value of \(50^2-49^2\)=

2)

How many numbers are there between \(n^2\) and \((n+1)^2\)?

3)

Which statement is not true?

The square of a natural number 'n' equals to the sum of first 'n' odd numbers.
The square of any odd number can be written as the sum of two consecutive positive integers.
The product of two consecutive odd numbers is 1 more than the square of the even number lying between them.
The product of two consecutive even numbers is 1 less than the square of the odd number lying between them.

4)

If \(1+3=2^2\), \(1+3+5= 3^2\), then 1+3+5+7+9+11=?

5)

For every positive integer 'm', (\(x,m^2-1,m^2+1\)) forms a Pythagorean triplet when x=

Mathematics