MathDB
2020 Individual #25

Source:

May 1, 2022
2020 Individual

Problem Statement

A number NN is defined as follows: N=2+22+202+2002+20002+⋯+200…000⏞19 0’s2N=2+22+202+2002+20002+\cdots+2\overbrace{00\ldots000}^{19~0\text{'s}}2 When the value of NN is simplified, what is the sum of its digits?
<spanclass=′latex−bold′>(A)</span>42<spanclass=′latex−bold′>(B)</span>44<spanclass=′latex−bold′>(C)</span>46<spanclass=′latex−bold′>(D)</span>50<spanclass=′latex−bold′>(E)</span>52<span class='latex-bold'>(A) </span>42\qquad<span class='latex-bold'>(B) </span>44\qquad<span class='latex-bold'>(C) </span>46\qquad<span class='latex-bold'>(D) </span>50\qquad<span class='latex-bold'>(E) </span>52
Back to ProblemsView on AoPS