[tex]a_n=a_1+d(n-1)[/tex] is the formula for an arithmetic sequence an=nth term a1=first term d=common difference n=which one it is
given 6th term or a6 is 22 and d or common differece is 6 then [tex]a_6=a_1+6(6-1)=22[/tex] [tex]a_1+6(5)=22[/tex] [tex]a_1+30=22[/tex] minus 30 both sides [tex]a_1=-8[/tex]
so
the formula is [tex]a_n=-8+6(n-1)[/tex] the 50th term is subsitute 50 for n [tex]a_{50}=-8+6(50-1)[/tex] [tex]a_{50}=-8+6(49)[/tex] [tex]a_{50}=-8+294[/tex] [tex]a_{50}=286[/tex]
