Step-by-step explanation:
Step 1: Find [tex]u_1[/tex]
[tex]u_1=u_1-u_0[/tex]
[tex]u_1 = 3(1)^2-2(1) - (3(0)^2-2(0))[/tex]
[tex]u_1 = 3(1) - 2 - (0)[/tex]
[tex]u_1=3-2[/tex]
[tex]u_1 = 1[/tex]
Answer: [tex]u_1 = 1[/tex]
Step 2: Find [tex]u_6[/tex]
[tex]u_6 = u_6-u_5[/tex]
[tex]u_6=(3(6)^2-2(6))-(3(5)^2-2(5))[/tex]
[tex]u_6=(3(36)-12)-(3(25)-10)[/tex]
[tex]u_6 = (108-12) - (75-10)[/tex]
[tex]u_6=96 - 65[/tex]
[tex]u_6=31[/tex]
Answer: [tex]u_6=31[/tex]
