Question
Calculate:
1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ... + 49 - 50

Answer

1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ... + 49 - 50
= (1 - 2) + (3 - 4) + (5 - 6) + (7 - 8) + ... + (49 - 50)
= (-1) + (-1) + (-1) + ... + 25 terms
= (-1) × 25
= -25
Hence, 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ... + 49 - 50 = -25

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