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IF the nth terms of the sequence {u(n)} ...

IF the nth terms of the sequence `{u_(n)}` is `u_(n) = (-1)^(n-1).2^(-n)`, find the corresponding series up to first five terms.

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The correct Answer is:
`(1)/(2) - (1)/(4) + (1)/(8) - (1)/(16) + (1)/(32)`
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