What is the sum of first 17 terms of the series 1/{3\times4}+1/{4\times5}+1/{5\times6} +....+1/{13\times14}

Decimals and Fractions Practice Test 1

Question : 36 of 40

Marks: +1, -0

What is the sum of first 17 terms of the series

1/{3×4}+1/{4×5}+1/{5×6}

+....+1/{13×14}

Solution:

1/{3×4}+1/{4×5}+1/{5×6}

+....+1/{13×14}

=1/3-1/4+1/4-1/5+1/5-1/6

+...+1/13-1/14

=1/3-1/14=11/42=0.26

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