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If \([x]\) be the greatest integer less than or equal to \(x\), then \(\sum_{n=8}^{100}\left[\frac{(-1)^n n}{2}\right]\)…

Q1

If \([x]\) be the greatest integer less than or equal to \(x\), then \(\sum_{n=8}^{100}\left[\frac{(-1)^n n}{2}\right]\) is equal to:

[JEE Main 2021, 25 Jul (Shift 2)]

a

\(4\)

b

\(-2\)

c

\(2\)

d

\(0\)

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