[tex]g_{5}[/tex] = [tex]\frac{11}{6}[/tex]
This is an arithmetic sequence with n th term
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d, hence
[tex]g_{5}[/tex] = [tex]\frac{1}{2}[/tex] + (4 × [tex]\frac{1}{3}[/tex])
= [tex]\frac{1}{2}[/tex] + [tex]\frac{4}{3}[/tex] = [tex]\frac{11}{6}[/tex]
