1+5+9+13+17+...+x=50151
ta có 1=0+1
5=2+3
9=4+5
13=6+7
17=8+9
.................
=>x= a+(a+1)
nên 1+5+9+...+x=501501
(=)0+1+2+3+4+5+....+a+(a+1)=501501
(=) [(a+1).9a+1+10]:2=501501
(=)(a+1).(a+2)1003002-1001.1002
=>a=1000
=>x=2001
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