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1+3+5+....+2001=?
Problema de tip gauss


Răspuns :

Nr termenilor:( 2001-1):2+1=2000:2+1=1001
S=(2001+1)*1001:2=2002*1001:2=1001*1001=1001²=1002001
1+3+5+....+2001=
1+3+5+...+2n-1=n*n
2001=2n-1
2n-1=2001
2n=2002
n=2002:2
 n=1001

S=1001*1001