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1+2+3+4+...+35+36+...+59+60+...+99+100+...999+1000+...+10.000=...?

Răspuns :

10000+(10000+1)/2=10000x10001/2=5000x10001=50005000
Suma primilor n termeni consecutivi este [tex] \frac{n}{2} (n+1)[/tex]. In cazul tau n=10000
Deci S=(10000/2)*10001=5000*10001=50005000