Question
Calculate: $1 - 2 + 3 - 4 + 5 - 6 + .................. + 15 - 16$

Answer

$1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + 9 - 10 + 11 - 12 + 13 - 14 + 15 - 16$
$= (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15) − (2 + 4 + 6 + 8 + 10 + 12 + 14 + 16)$
$= 64 - 72$
$= -8$

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