Consider the arithmetic series 3+7+11+15+19+23+27... and answer the question 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) T4= ;S4=

(ii) Express T4 in terms of S4 and S3

question 2

a) from your answers in question 1 above did you observe any pattern?

b) use this pattern you observe to express T100 in terms of S100 and S99

c)identify a relationship among Tn, Sn and sn-1 where n>1 and n £N.

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Anne found the 10th term of the following sequence. her steps are shown below. 3, 7, 11, 15, … 1. common difference = 4, a1 = 3 2. an = 3 + (n - 1)4 3. an = 3 + 4n - 4 4. an = 4n - 1 5. a10 = 4(10) – 1 6. a10 = 39 analyze anne’s work. is she correct? if not, what was her mistake? yes, she is correct. no, she needed to find the common ratio because it is a geometric sequence. no, she substituted the wrong values into the rule to find the equation that represented the sequence. no, she solved for the 10th term incorrectly.