Sum fast

Algebra Level 2

1 + 10 + 101 + 1010 + 10101 + 101010 + 1010101=?


The answer is 1122334.

David Amato Mantegari by David Amato Mantegari , 24, Brazil

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1 solution

Chew-Seong Cheong
Sep 25, 2015

The sum is: 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 + 1 0 1 0 1 0 1 1 1 2 2 3 3 4 \quad \begin{array} {rr} & &&&&&&1 \\ &&&&&& 1&0 \\ &&&&& 1&0&1 \\ &&&& 1&0&1&0 \\ &&& 1&0&1&0&1 \\ && 1&0&1&0&1&0 \\ + & 1 & 0 & 1 & 0 & 1 & 0 & 1 \\ \hline & 1&1&2&2&3&3&4 \end{array}

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