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SASMO 2021 Grade 7 Question 18

SASMO · SASMO 2021 Grade 7

Question 18

Calculate

$192\left(\frac1{20}+\frac1{30}+\frac1{42}+\cdots+\frac1{2256}\right)$.

The denominators follow $n(n+1)$ for consecutive integers $n=4,5,\ldots,47$.

Answer format: enter one whole number without units. The printed paper uses four answer-sheet digits with leading zeros when needed; ordinary numeric entry is used here.