Sequences and series › Finite sums › Alternating sums

Alternating sum of consecutive integers

Middle school · ●○○○○ 10 pts

What is the value of the expression 100−99+98−97+96−95+⋯+4−3+2−1100 - 99 + 98 - 97 + 96 - 95 + \cdots + 4 - 3 + 2 - 1?

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arithmetic series