An Alternating Series

Algebra Level 2

Determine the sum \[ (-1)^1 \cdot 2 + (-1)^2 \cdot 3 + (-1)^3 \cdot 4 + \cdots + (-1)^{98} \cdot 99 .\]

Details and assumptions

The general term of this series is \( (-1)^n \cdot (n+1) \).

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