👤

Dati factorul comun apoi calculati:101+202+303+....+909+1010+.....9898+9999

Răspuns :

101 + 202 + 303 + ... + 909 + 1010 + ...+ 9898 + 9999 =

= 101·(1 + 2 + .. + 99)

= 101·99·100 : 2

= 499 950

101+202+303+....+909+1010+.....9898+9999 =

101 × ( 1+2+3+4+.............................+ 99)=

101 × (99 × (99+1)]:2 = 499950