I neen to get a formula of the nth term for this sequence:1, 1/2, 3, 1/4, 5, 1/6...

Baqling 2022-09-11 Answered
I neen to get a formula of the nth term for this sequence:1, 1/2, 3, 1/4, 5, 1/6...
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Answers (1)

Bordenauaa
Answered 2022-09-12 Author has 18 answers
The sequence 1,2,3,4,5,6,... is clearly just a n = n
but we want the reciprocal of all even numbered terms and one way to do this is to use the alternating nature of
XXX ( - 1 ) n - 1
(noting that we need to subtract 1 from the exponent n so that it is the even and not the odd terms for which we take the recipocal.)
so, one possibility is
XXX a n = n ( - 1 ) n - 1

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