Question

1/2 + 1/4 + 1/8 + 1/16 = 1-x, then what number is x ?

• A. 1/16
• B. 1/8
• C. 1/4
• D. 1/32

Answer 1

Answer:

A. 1/16

$\frac{1 \times8}{2 \times 8}+\frac{1 \times 4}{4 \times 4}+\frac{1 \times 2 }{8 \times 2}\frac{1}{16}=1-x$

$\frac{8+4+2+1}{16}=1-x$

$\frac{15}{16}=1-x$

$x=1-\frac{15}{16}=\frac{1}{16}$