Question

calculem o valor do número x sabendo que x=1 + 1/2 + 1/2^2 + 1/2^3 + 1/2^4 + 1/2^5

Answer 1

$x =1 + ( \frac{1}{2} ) + ( \frac{1}{2}) {}^{2} + ( \frac{1}{2}) {}^{3} + (\frac{1}{2} ) {}^{4} + ( \frac{1}{2} )5 \\ x = 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \frac{1}{32} \\ x = \frac{32 + 16 + 8 + 4 + 2 + 1}{32} \\ x = \frac{63}{32}$