Question

Calculati: S1= 1/101+2/101+....+101/101 si S2= 1/40+1/88+1/154+......1/10098​

Answer 1

Explicație pas cu pas:

$s1 = \frac{1}{101 } + \frac{2}{101} + ... + \frac{101}{101} \\ s1 = \frac{101 \times 1+ 2 \times 101 + ... + 101 \times 101}{101} \\ s1 = \frac{101(1 + 2 + ... + 101)}{101} \\ s1 = 1 + 2 + ... + 101 \\ s1 = \frac{101(101 + 1)}{2} \\ s1 = 5151$