Simplification Test 7

Question : 36 of 40

Marks: +1, -0

3/{1^2 . 2^2}+5/{2^2 . 3^2}+7/{3^2 . 4^2}+9/{4^2 . 5^2}+11/{5^2 . 6^2}+13/{6^2 . 7^2}+15/{7^2 . 8^2}+17/{8^2 . 9^2}+19/{9^2 . 10^2}

is simplified to:

Solution:

3/{1^2 . 2^2}+5/{2^2 . 3^2}+7/{3^2 . 4^2}+9/{4^2 . 5^2}+11/{5^2 . 6^2}+13/{6^2 . 7^2}+15/{7^2 . 8^2}+17/{8^2 . 9^2}+19/{9^2 . 10^2}

=1-1/4+1/4-1/9+1/9-1/16+1/16-1/25+1/25-1/36+1/36-1/49+1/49-1/64+1/64-1/81+1/81-1/100

=1-1/100=99/100

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