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SASMO 2021 Grade 8 Question 16

SASMO · SASMO 2021 Grade 8

Question 16

Calculate $184\left(\frac1{20}+\frac1{30}+\frac1{42}+\cdots+\frac1{2070}\right)$.

The denominators continue as $k(k+1)$ for consecutive integers $k=4,5,\ldots,45$.

Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).