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If Sn for a sequence is given by n^2 +2n, then find t_4 + t_5 +t_6.


 

Option: 1

30


Option: 2

33


Option: 3

36


Option: 4

40


Answers (1)

best_answer

S_6=t_1+t_2+t_3+t_4 + t_5 +t_6

S_3=t_1+t_2+t_3

So, S_6-S_3=t_4+t_5+t_6

\Rightarrow t_4+t_5+t_6= S_6-S_3

                              = (6^2+2.6)-(3^2+2.3)

                              = (6^2-3^2)+(2.6-2.3)

                             = 36-9+6 = 33   

Posted by

vinayak

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