Question

1- 1/2-1/4-1/8-1/16=...

Answer 1

\(1-\dfrac{1}{2}-\dfrac{1}{4}-\dfrac{1}{8}-\dfrac{1}{16}=1-\left(\dfrac{1}{2}-\dfrac{1}{8}\right)-\left(\dfrac{1}{4}-\dfrac{1}{16}\right)=1-\dfrac{3}{8}-\dfrac{3}{16}=\dfrac{3}{16}\)

Answer 2

\(1-\dfrac{1}{2}-\dfrac{1}{4}-\dfrac{1}{8}-\dfrac{1}{16}=\dfrac{16}{16}-\dfrac{8}{16}-\dfrac{4}{16}-\dfrac{2}{16}-\dfrac{1}{16}=\dfrac{\left(16-8-4-2-1\right)}{16}=\dfrac{1}{16}\)