Question

dau coroana primu care rasp​

Answer 1

$\frac{3 - 1}{3 \times 1} + \frac{5 - 3}{3 \times 5} + .... + \frac{51 - 49}{49 \times 51}$

$\frac{3}{3 \times 1} - \frac{1}{3 \times 1} + \frac{5}{3 \times 5} - \frac{3}{3 \times 5} + ... + \frac{51}{49 \times 51} - \frac{49}{49 \times 51}$

Daca simplificam o sa avem asa:

$1 - \frac{1}{3} + \frac{1}{3} - \frac{1}{5} + ... + \frac{1}{49} - \frac{1}{51}$

Simplificam iar

$1 - \frac{1}{51} = \frac{50}{51}$

$50 \div 51 = 0.98.....$

=>

$\frac{1}{2} < \frac{50}{51} < 1$