Question

Calculați
$\frac{1}{1 \times 2} + \frac{1}{2 \times 3 } + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + ... \frac{1}{100 \times 101}$
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Answer 1

Răspuns:

Explicație pas cu pas:

$\frac{1}{1*2}+\frac{1}{2*3}+\frac{1}{3*4}+...+\frac{1}{99*100}+\frac{1}{100*101} =\frac{1}{1} -\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+ \frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}+\frac{1}{100}-\frac{1}{101}=\frac{1}{1}-\frac{1}{101}=\frac{101}{101}-\frac{1}{101}=\frac{100}{101} .$

Answer 2

Sper ca nu am gresit cv...