Răspuns :
1) 4x(1+2+3+........................+499)=
4x[499x(499+1):2]=
4x[499x500:2]=
4x(249.500:2)=
4x124.750=499.000
2) 7x(1+2+3+.........................+451)=
7x[451x(451+1):2]=
7x[451x452:2]=
7x(203.852:2)=
7x101.926=713.482
3) 8x(1+2+3+...........................+313)=
8x[313x(313+1):2]=
8x[313x314:2]=
8x(98.282:2)=
8x49.141=393.128
4) 11x(1+2+3+..........................+121)=
11x[121x(121+1):2]=
11x[121x122:2]=
11x(14.762:2)=
11x7.381=81.191
5) 19x(1+2+3+..........................+105)=
19x[105x(105+1):2]=
19x[105x106:2]=
19x(11.130:2)=
19x5.565=105.735
4x[499x(499+1):2]=
4x[499x500:2]=
4x(249.500:2)=
4x124.750=499.000
2) 7x(1+2+3+.........................+451)=
7x[451x(451+1):2]=
7x[451x452:2]=
7x(203.852:2)=
7x101.926=713.482
3) 8x(1+2+3+...........................+313)=
8x[313x(313+1):2]=
8x[313x314:2]=
8x(98.282:2)=
8x49.141=393.128
4) 11x(1+2+3+..........................+121)=
11x[121x(121+1):2]=
11x[121x122:2]=
11x(14.762:2)=
11x7.381=81.191
5) 19x(1+2+3+..........................+105)=
19x[105x(105+1):2]=
19x[105x106:2]=
19x(11.130:2)=
19x5.565=105.735
1996+1992+1988+------------+4
4+8+12+--------+1996
2S=2000+2000+2000+2000
4,8,12,------1996/:2
2,4,6------998/:2
1,2,3-------499/deci 499
499×2000=998000 2S
S=998000:2
S=499000
4+8+12+--------+1996
2S=2000+2000+2000+2000
4,8,12,------1996/:2
2,4,6------998/:2
1,2,3-------499/deci 499
499×2000=998000 2S
S=998000:2
S=499000