Question

X+4/5+x+5/6+x+6/7+......+x+99/100=96

Answer 1

Răspuns:

Explicație pas cu pas:

X+4/5+x+5/6+x+6/7+......+x+99/100=96

In suma sunt 99-4 +1 termeni de forma x +a/b

96x +4/5+5/6+6/7+....+99/100=96

4/5 = 1-1/5,  5/6 = 1-1/6, ..., 99/100 = 1-1/100

96x +96 - (1/5+1/6+1/7+....+1/100) = 96

96x = (1/5+1/6+1/7+....+1/100)

x = (1/5+1/6+1/7+....+1/100)/96

Suma S = 1/5+1/6+1/7+....+1/100 poate fi calculata

   doar cu calculatorul, nu exista o formula