Consider the arithmetic series 3 + 7 + 11 + 15 + 19 + 23 + 27 +...and answer the questions which follow.
Si=
(2)
a) (i) T1=
(ii) Express Tjin terms of S1
(2)
S2 =
b) (i) T2 =...
(2)
(ii)
Express T2 in terms of S2 and Si.
(2)
c) (i) T3 = ...
; S3 = ...
(2)
(ii)
Express T3 in terms of Szand S2.
(2)
d) (i)
T4=
; S4 =
(2)
(ii)
(2)
Express T4 in terms of S4 and S3.
(6 MARKS).
QUESTION 2
(1)
a)
From your answers in question 1 above did you observe any pattern?
(2
b) Use this pattern you observed to express T 100 in terms of S100 and S99.​