Question

1+1/2+...+1/16=?
1/8*1/4*...*8=?

Answer 1

$1+\frac{1}{2}+ \frac{1}{3}+...+\frac{1}{16}= \frac{1^{(16}+ \frac{1}{16}}{2}= \\ \\ = \frac{ \frac{16+1}{16}}{2}= \frac{17}{16}* \frac{1}{2}= \frac{17}{32} \\ \\ \\ \frac{1}{8}*\frac{1}{4} * \frac{1}{2} * 2 * 4*8=1$

Answer 2

1+1/2+....+1/16=($( 1/2^{5})-1)/(1/2-1)$=2-$1/2^{4}$=31/16
1/8*1/4*1/2*1*2*4*8=1/8*1/8*8*8=1