Consider the arithmetic series 3+7+11+15+19+23+27+...and answer the questions which follow
a)(i)T1=; S1=
(ii)Express T1 in terms of S1
b)(i)T2= ;S2=
(ii)Express T2 in terms of S2 and S1
c)(i)T3= ;S3=
(ii)Express T3 in terms of S3 and S2
d)(i)T4=; S4=
(ii)Express T4 in terms of S4 and S3
(ii)
I will assume T_n means the nth term and S_n means the sum of the first nth terms.
a) T_1 = 3, S_1 = 3
T_1 = S_1
b) T_2 = 7, S_2 = 10
T_2 = S_2 - S_1
c) T_3 = 11, S_3 = 21
T_3 = S_3 - S_2
and so on.