Question

Calculați 32+33+34+....+64
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Answer 1

Răspuns:

32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61+62+63+64  = 1584

Explicație pas cu pas:

Answer 2

 

$\displaystyle\bf\\Calculati: 32+33+34+....+64\\\\Rezolvare:\\\\Calculam~numarul~de~termei~(n).\\\\n=64-32+1=32+1=33~de~termeni.\\\\Folosim~formula~lui~Gauss~pentru~calculul~sumei.\\\\32+33+34+....+64=\frac{n(64+32)}{2}=\frac{33\times96}{2}=33\times48=\boxed{\bf1584}$