Given f(9) = - 2, which function can be used to generate the sequence 8, 7.25, 6.5, 5.75,...? (1) f(n)= - 8 + 0.75n (2) f(n)= - 8 - 0.75(n -1) (3) f(n) = - 8.75 + 0.75n (4) f(n) = - 0.75+ 8(n- 1) Answer and Explanation: First we can plug in n=9, to figure out which function would give us -2 as the answer. Choice 1, gives -1.25 as the answer for f(9) Choice 2, gives -14. Choice 3, gives -2 as the answer Choice 4, does not give us -2 as the answer and therefore this leaves us

Given i is the imaginary unit, (2- yi)^2 in simplest form is In order to do this problem, we have to remember just one simple rule: i ^2 = -1 To solve the problem we first can distribute the terms (2- yi)^2 = (2-yi) (2-yi) = 4 - 2yi - 2yi + (y^2)(i^2 )= 4 - 4yi - y^2 Remember that i^2 = -1 and therefore (y^2)(i^2 ) becomes simply -y^2 Working with imaginary numbers might seem scary at first, but its nothing other than algebra we are already used to with the knowledge that i