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describe the sequence 0,1,0,1/3,0,1/5 and give the next 3 terms.
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High School Teacher
Alternate terms are zero starting from the 1st term.
Alternate terms are 1/(2n-1) in the 2n postion.
T2n+1 = 0. Or the terms at odd places are zero. n=1,2,3 etc
T2n = 1/(2n-1)
So T6 = 1/5 is 6th given term
T7 = 0
T8 = 1/(2*4-1) = 1/7 is the 8 th term
T9 = 0.
T10 = 1/(2*5-1) =1/9 ie the 10 th term.
And so on.....
Therefore T7,T8 and T9 are 0,1/7 and 0 respectively.
Posted by neela on May 4, 2010 at 11:03 AM (Answer #1)
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