Write down a similar expression for the set, B, of all even numbers.

A = {(n + 1)2 − n2 | n ∈ N}is the set of all odd numbers.Write down a similar expression for the set, B, of all even numbers.List the elements of the setsC = {(n + 1)2 − (n2 + 2n) | n ∈ N}and (A ∩ B) ∪ C.

Let U = {x : x ∈ N, x ≤ 9}; A = {x : x is an even number, 0 < x < 10}; B = {2, 3, 5, 7}. Write the set (A U B)’.

If A={x: x is an even natural number} and B={y:y is an odd natural number}, A ∩ B is:

An even number can be expressed as the square of an integer as well as a cube of another integer. Then the number has to be necessarily divisible by:

Question 3: Given a list of integers, please create a new list where each element is half of the even numbers in the original list.numbers = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]