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What is the sum of the first 30 positive integers?
The sum of the first 30 positive integers is: 465.
Is the sum of 2 numbers can be odd then there product is odd as well?
Let's take a look at this. For any integer n, 2n always be even, then the next consecutive number 2n + 1 must be odd. Let add them first, 2n + 2n + 1 = 4n + 1 = 2(2n) + 1 So their sum is odd, since every even number multiplied by 2 is also even. Let's multiplied them, 2n(2n + 1) = (2n)^2 + 2n Their product is even, since every even number raised in the second power is also even, and the sum of two even numbers is even too. So the answer is that when the sum of two numbers can be odd, their product is an even number. (note that the sum of two odd numbers is even)
A rule in terms of n for the sum of the first n odd positive integers is?
n2+n
What is the sum of two opposites?
If the negative has a greater absolute value, the sum will be negative. If the positive has a greater absolute value, the sum will be positive.
A group of students are finding the perimeters of rectangles whose lengths and widths are whole numbers they notice that all the perimeters are not even numbers is this always true?
No, it is always false. Perimeter of a rectangle= 2l + 2w, l= length, w=width. 2*any whole number, regardless odd or even, is even. Thus 2l is even and 2w is even. The sum of two even numbers is always even.
