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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)

 Feb 23, 2021
 #1
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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.

 Feb 23, 2021

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