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a fost răspuns

Cum se rezolva exuatia:
[tex] \frac{2}{5 } + \frac{5}{5} + \frac{8}{5} + ......... + \frac{224}{5} = [/tex]


Răspuns :

[tex] \frac{2 + 5 + 8 + .... + 224}{5} = \\ \frac{(224 + 2) \times((224 - 2) \div 3 + 1) \div 2 }{5} =
\frac{226 \times (222 \div 3 + 1) \div 2}{5} =
\frac{226 \div 2 \times 75}{5} =
113 \times 15 = 1695[/tex]