Răspuns :
2005+2+4+...+4008
2005+2(1+2+3+..+2004)=
2005+2*(2004*2005)/2= 2 cu 2 se simplif
2005+2004*2005=
2005(1+2004)=
2005*2005 NU are rost sa faci calculele pt ca rez e un numar mult prea mare
1996+2+4+...+3990
1996+2 (1+2+3+...+1995)=
1996+2*(1995*1996)/2 2 cu 2 se simplifica iar
1996+1995*1996=
1996(1+1995)=
1996*1996
2005+2(1+2+3+..+2004)=
2005+2*(2004*2005)/2= 2 cu 2 se simplif
2005+2004*2005=
2005(1+2004)=
2005*2005 NU are rost sa faci calculele pt ca rez e un numar mult prea mare
1996+2+4+...+3990
1996+2 (1+2+3+...+1995)=
1996+2*(1995*1996)/2 2 cu 2 se simplifica iar
1996+1995*1996=
1996(1+1995)=
1996*1996
S1= 2005 + 2(1+2+3+....+2004)=
=2005 +2 * (1+2004)*2004/2
=2005 + (1+2004)*2004)
=2005+2005*2004
=2005(1+1*2004)
=2005*2005
=2005²
S2=1996+2(1+2+3+....+1995)=
=1996+2* (1+1995)*1995/2
=1996+(1+1995)*1995
=1996+1996*1995
=1996(1+1*1995)
=1996*1996
=1996²
=2005 +2 * (1+2004)*2004/2
=2005 + (1+2004)*2004)
=2005+2005*2004
=2005(1+1*2004)
=2005*2005
=2005²
S2=1996+2(1+2+3+....+1995)=
=1996+2* (1+1995)*1995/2
=1996+(1+1995)*1995
=1996+1996*1995
=1996(1+1*1995)
=1996*1996
=1996²