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general term of the sequence : 0,1,1,2,2,3,3,4...........

general term of the sequence : 0,1,1,2,2,3,3,4...........

Grade:11

1 Answers

Shashank Singh
askIITians Faculty 57 Points
5 years ago
if we look at the terms of this sequence
T1= 0 T2=1 T3=1 T4= 2 T5=2 T6=3 T7=3 T8=4
if we look at the eventh term it is coming as n/2
but the every odd term is getting repeated other than o.
if we take n=1
T1= ½ is not in the sequence
but if we take integral part in the sequence then T1 comes out to be 0
lets check for n=3
T3=[3/2] =1
so we can say the general term of this sequence is Tr= [r/2] where [ ] denotes the greates integer function............. [Ans]

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