Răspuns :
0,9 + 1,9 +2,9 + ... + 19,9 se poate scrie ca
0 + 1 + 2 + ... + 19 + 20 * (9/10)
0 + 1 + 2 + ... + 19 + 18
1+2+3+...+19 = [19*(19+1)]/2 = 19*10 = 190 (am folosit formula lui Gauss)
190+18 = 208
Sper ca e corect. Daca nu intelegi ceva sa-mi spui.
0 + 1 + 2 + ... + 19 + 20 * (9/10)
0 + 1 + 2 + ... + 19 + 18
1+2+3+...+19 = [19*(19+1)]/2 = 19*10 = 190 (am folosit formula lui Gauss)
190+18 = 208
Sper ca e corect. Daca nu intelegi ceva sa-mi spui.
S1=0,9+1,9+2,9+.....+19,9
S2=19,9+.....+2,9+1,9+0,9
-------------------------------------
2xS=20,8+.....+20,8+20,8+20,8
20.8-0.9=19.9
2S=20.8*19.9
2S=........
S=........../2
S=..........
S2=19,9+.....+2,9+1,9+0,9
-------------------------------------
2xS=20,8+.....+20,8+20,8+20,8
20.8-0.9=19.9
2S=20.8*19.9
2S=........
S=........../2
S=..........