Question

Suma a 100 nr consecutive e 5050.Sa se calculeze cel mai mic si cel mai mare nr a sumei date.

Answer 1

Notam cu ''a'' primul numar .
a+a+1+a+2+..+a+99=5050
100a+(1+2+3+...+99)=5050
100a+99x100/2=5050
100a+99x50=5050 
100a+4950=5050
100a=100
a=100/100
⇒a=1

a-cel mai mic numar 
a+99-cel mai mare numar ⇒ a+99=1+99=100


Verificare :
a+a+1+a+2+..+a+99=1+2+3+...+100=100x101/2=50x101=5050


Sper ca te-am ajutat ! :)