Question

1/2 + 1/4 + 1/8 + 1/16

Answer 1

đáp án là15/16  nha

Answer 2

1/2 + 1/4 + 1/8+1/16=8/16+4/16+2/16+1/16=8+4+2+1/16=15/16

Answer 3

=    8/16   +   4/16    +   2/16   +   1/16

=    16/16

= 1

Answer 4

15 / 16 nha

Answer 5

Đặt \(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)

\(\Rightarrow A=\frac{1}{2^1}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}\)

\(\Rightarrow2A=1+\frac{1}{2^1}+\frac{1}{2^2}+\frac{1}{2^3}\)

\(\Rightarrow2A-A=\left(1+\frac{1}{2^1}+\frac{1}{2^2}+\frac{1}{2^3}\right)-\left(\frac{1}{2^1}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}\right)\)

\(\Rightarrow A=1-\frac{1}{2^4}=1-\frac{1}{16}=\frac{15}{16}\)

Answer 6

\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)

=\(\frac{8}{16}+\frac{4}{16}+\frac{2}{16}+\frac{1}{16}\)

=\(\frac{8+4+2+1}{16}=\frac{15}{16}\)

Answer 7

15/16