Well first we need to make a function, this is increasing proportionally so we know the equation will be [tex]y = mx + b[/tex] Now its increasing by 6 for each step in x so [tex]y = 6x + b[/tex] If we plug in when x = 1 and y = 2(the first given term) [tex]2 = 6(1) + b \\ b = - 4[/tex] Now the arithmetic sequence can sbe represented by [tex]y = 6x - 4[/tex] If you plug in 18, well get the 18th term [tex]y = 6(18) - 4 \\ y = 108 - 4 \\ y = 104[/tex] The 18th term is 104
