Question

20. Calculaţi media aritmetică a numerelor 2¹⁷,2¹⁸ si 3×2¹⁹​

Answer 1

Răspuns:

$\frac{2 {}^{17} + 2 {}^{18} + 3 \times {2}^{19} }{3} \\ \\ = \frac{2 {}^{17} + 2 \times 2 {}^{17} + 3 \times 2 {}^{2} \times 2 {}^{17} }{3} \\ \\ = \frac{(1 + 2 + 3 \times {2}^{2} ) \times 2 {}^{17} }{3} \\ \\ = \frac{(1 + 2 + 3 \times 4) \times {2}^{17} }{3} \\ \\ = \frac{15 \times 2 {}^{17} }{3} \\ \\ = 5 \times {2}^{17} \\ \\ = 655360$