Signed Sum Of Reciprocals
Logic
Level
2
\[ \large 1 \, \square \, \dfrac12 \, \square \, \dfrac13 \, \square \, \dfrac14 \, \square \,\dfrac15 \, \square \, \cdots \square \, \dfrac1{31} =\dfrac1{32} \]
There are \( 2^{30} \) ways in which we can fill the squares with the mathematical operators \( +\) and \(-\).
How many ways would make the equation true?
by
Pi Han Goh