(1 1/15)(1 1/16)(1 1/17)...(1 1/2024)

31/100

Tính \(\left( {1 - \frac{1}{{15}}} \right)\left( {1 - \frac{1}{{16}}} \right)\left( {1 - \frac{1}{{17}}} \right)...\left( {1 - \frac{1}{{2024}}} \right)\)

Nhập câu trả lời ở đây

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Giải thích

Lời giải:

\(\begin{array}{l}(1 - \frac{1}{{15}})(1 - \frac{1}{{16}})(1 - \frac{1}{{17}})...(1 - \frac{1}{{2024}})\\ = \frac{{14}}{{15}}.\frac{{15}}{{16}}.\frac{{16}}{{17}}...\frac{{2023}}{{2024}}\\ = \frac{{14}}{{2024}} = \frac{7}{{1012}}\end{array}\)

(1 1/15)*(1 1/16)*(1 1/17)*...*(1 1/2024)

(1 1/15)(1 1/16)(1 1/17)...(1 1/2024)