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jmc

counting and probability junior

Problem

Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagon?
problem
(A)
(B)
(C)
(D)
Solution
Looking at the rows of each hexagon, we see that the first hexagon has dot, the second has dots, and the third has dots. Given the way the hexagons are constructed, it is clear that this pattern continues. Hence, the fourth hexagon has dots.
Final answer
B