2020 Individual #10
Source:
May 1, 2022
2020 Individual
Problem Statement
In the diagram below, for each row except the bottom row, the number in each cell is determined by
the sum of the two numbers beneath it. Find the sum of all cells denoted with a question mark.[asy]
unitsize(2cm);
path box = (-0.5,-0.2)--(-0.5,0.2)--(0.5,0.2)--(0.5,-0.2)--cycle;
draw(box); label("",(0,0));
draw(shift(1,0)*box); label("",(1,0));
draw(shift(2,0)*box); label("",(2,0));
draw(shift(3,0)*box); label("",(3,0));
draw(shift(0.5,0.4)*box); label("",(0.5,0.4));
draw(shift(1.5,0.4)*box); label("",(1.5,0.4));
draw(shift(2.5,0.4)*box); label("",(2.5,0.4));
draw(shift(1,0.8)*box); label("",(1,0.8));
draw(shift(2,0.8)*box); label("",(2,0.8));
draw(shift(1.5,1.2)*box); label("",(1.5,1.2));
[/asy]