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PIMSO 2022 - Mathematics - Grade 7 / Secondary 1 - National Round Question 5

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 7 / Secondary 1 - National Round

Question 5

What is the sum of this series up to its 2020th term? $$\frac19+\frac1{18}+\frac1{30}+\frac1{45}+\cdots$$

Pattern convention: continue the denominators using consecutive-factor products.