Homework Help

describe the sequence 0,1,0,1/3,0,1/5 and give the next 3 terms.

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chocolate975 | Student, Undergraduate | (Level 2) Honors

Posted May 4, 2010 at 9:37 AM via web

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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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neela | High School Teacher | (Level 3) Valedictorian

Posted May 4, 2010 at 11:03 AM (Answer #1)

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Alternate terms are zero starting from the 1st term.

Alternate terms are 1/(2n-1) in the 2n  postion.

So

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.

 

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