(22) in arithmetic progression {an}, a4=6, a6= 10.
(1) Find the general term formula of this series.
a6 = a4+2d = 6+2d = 10
d=2
a4 = a _ 1+3d = a _ 1+6 = 6
a_ 1=0
a _ n = a _ 1+(n- 1)d = 2(n- 1)
(2)S _ 30 =(a _ 1+a _ 30)* 30/2 =(0+2 * 29)* 15 = 58 * 15 = 870
(2) Find S30