Question

-1/1x2-1/2x3-1/3x4-.-1/9x10

Answer 1

-1/(1×2)-1/(2×3)-1/(3×4)-……-1/(9×10)

=-[1/(1×2)+1/(2×3)+1/(3×4)+……+1/(9×10)]

=-(1-1/2+1/2+-1/3+1/3-1/4+……+1/9-1/10)

=-(1-1/10)

=-9/10

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