Consider the sequence 0, 2, -4, 6, 8, -10, ..., of even, nonnegative 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. Which of the four function definitions will 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.] a) f(n)= [(-n+2/n+1)^(n+1) mod 3 x2(n-1)
b) f(n) = -1^(n-1) mod 3(2n-2)
c. f(n) = (-1)^(n+1) mod 3] (log2, 2^2n – 2 · log2 2)
d. f(n) = (-1){(n+1) mod 3 (2n – 2)