You are given the sequence 0, 2, -4, 6, 8, -10, .., of even integers that run in the sign pattern +, +, -, +, +, -, .., with the 3rd, 6th, 9th, .., (3n)th, . elements of the sequence negative, and all other elements positive. Consider the listed function definitions. Assume each has a domain of positive integers and a co-domain of integers that are a multiple of two. Identify all function definitions that create the first six elements in the sequence when evaluated with the domain subset {1, 2, 3, 4, 5, 6]. [At least one of the functions will create the first six elements in the sequence.] Hint: The TABLE function on a graphing calculator can be helpful. Of(n) = (-1)[(n41) mod 3 (log2 22n - 2 . log2 2) Of (n) = (-1)[(742) mod 31 (2n - 2) Of ( n ) = ( - L(m+1) ) [(n+1) mod 3 x 2 (n - 1) Of (n) = (-1)[(n 2) mod 31 (2n - 2)