Question

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Question
Look at the triangle patterns. If this pattern continues, how many triangles will be in stage 4?





(1 point)
Responses

18
18

17
17

14
14

13
13
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Answer 1

I can't see the triangle pattern image — can you either upload it or type how many triangles are in stages 1, 2 and 3? With that I can determine stage 4.

If you want to check it yourself, here are two common ways the answer can come out:

- If the counts go up by 3, then 4, then 5 (increments increasing by 1), and stage 1 = 2, stage 2 = 5, stage 3 = 9, then stage 4 = 9 + 5 = 14.
- If the pattern is the total number of equilateral triangles in a triangular grid of side n, the sequence is 1, 5, 13, 27,... and stage 4 = 27 (not one of the choices).

Send the picture or the first three-stage counts and I’ll give the exact answer.