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1998 CEMC Gauss (Grade 7) Problems/Problem 13

Problem

The pattern of figures (triangle, dark circle, square, dark triangle, circle) is repeated over and over again. The 214th figure in the sequence is

$\text{(A) triangle}$

$\text{(B) dark circle}$

$\text{(C) square}$

$\text{(D) dark triangle}$

$\text{(E) circle}$

Solution

This circle repeats every 5 figures. The remainder when 214 is divided by 5 is 4, so the 214th term is the same as the 4th term, which is the dark triangle.

The answer is $\text{(D)}.$

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