[-(1)/(3)]+[-(1)/(3)-(1)/(100)]+[-(1)/(3...

`[-(1)/(3)]+[-(1)/(3)-(1)/(100)]+[-(1)/(3)-(2)/(100)]+….+[-(1)/(3)-(99)/(100)]` is equal to (where `[.]` denotes greatest integer function)

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The correct Answer is:

4

`[-(1)/(2)]+[-(1)/(3)-(1)/(100)]+…[-(1)/(3)-(66)/(100)]+[-(1)/(3)-(17)/(100)]-[(1)/(3)-(99)/(100)]`
`-67-2(33)=-67-16=-133`

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