The sequence i chose is 8, 17, 26, 35, 44…

This also means d=9

Now to find t_{50}:

t_{50}=t_1+(n-1)d

t_{50}=8+(50-1)9

t_{50}=8+441

t_{50}=449

The general equation is: t_n=9n-1:

Now to find S_{50}:

S_{50}=\frac{n}{2}(t_1+t_{50})

S_{50}=\frac{50}{2}(8+449)

S_{50}=25(457)

S_{50}=11 425

So in the end that means t_{50}=449 and S_{50}=11 425 and the general equation is t_n=9n-1