Question

sa și explicati ce ati facut in raspuns​

Answer 1

$1 \frac{1}{2} \times 1 \frac{1}{3} \times 1 \frac{1}{4} \times ... \times 1 \frac{1}{100} = \\ \frac{1 \times 2 + 1}{2} \times \frac{1 \times 3 + 1}{3} + \frac{1 \times 4 + 1}{4} \times ... \times \frac{1 \times 100 + 1}{100} = \\ \frac{3}{2} \times \frac{4}{3} \times \frac{5}{4} \times \frac{6}{5} \times ... \times \frac{100}{99} \times \frac{101}{100} \\ se \: simplifica \: pe \: diagonala \\ \frac{1}{2} \times 101 = \frac{101}{2} = 50.5$