## College Algebra (6th Edition)

Linear function for $a_{n}$ = -4 n + 5
From graph, If n = 1 then $a_{n}$ = 1, write this information as point form (n, $a_{n}$) = (1, 1) If n = 2 then $a_{n}$ = -3, write this information as point form (n, $a_{n}$) = (2, -3) Slop of the line join both points (1, 1) and (2, -3) = $\frac{-3-1}{2-1}$ = -4 Equation for straight line which join both the points. $a_{n}$ = -4n + x where x = constant find by put $a_{n}$ = 1 if n = 1. 1 = -4 + x x = 5 then $a_{n}$ = -4 n + 5 Linear function for $a_{n}$ = -4 n + 5