This is "fifteen triangles":
▲ ▼ ▲ ▲ ▼ ▼ ▲ ▲ ▲ ▼ ▼ ▲ ▲ ▲ ▼ ?
Each triangle points up or down. What the "?" figure should be and why?
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27$\begingroup$ Probably a triangle, because the rest are triangles. $\endgroup$– VaelusMar 10, 2018 at 22:05
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2$\begingroup$ the next figure is "7", and there's no way to prove otherwise. $\endgroup$– PeterMar 11, 2018 at 9:19
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$\begingroup$ Given the "lateral thinking" tag, surely the next figure is ▶ . $\endgroup$– wcharginMar 11, 2018 at 19:43
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5 Answers
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It should be
Pointing upwards
Because
Every letter in "fifteen triangles" is represented: consonants=up, vowels=down. Since the last letter is a consonant ("s"), it should point up.
answered Mar 10, 2018 at 16:54
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On account of the lateral thinking tag, I'd say the sixteenth figure is...
The question mark at the end.
It's never stated that the sixteenth figure is a triangle in the title or body.
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Given the tag "lateral" thinking, I'm not sure the current pattern is enough to dictate a single potential pattern and so there could be a fair number of possible ways the sequence could go.
However I'll guess the next triangle is:
▼
Because:
The pattern is reversed at the point of the second set of 2Xdown (▼ ▼)
The pattern given is:
▲ ▼ ▲ ▲ ▼ ▼ ▲ ▲ ▲ ▼ ▼ ▲ ▲ ▲ ▼ |ii| |i| |A| |B|
A = The reverse is activated
B = The next set of characters from being reversed at "A", which is denoted as "i"
ii = The next set of characters in the (now) reversed sequence
Your completed sequence would look like:
▲ ▼ ▲ ▲ ▼ ▼ ▲ ▲ ▲ ▼ ▼ ▲ ▲ ▲ ▼ ▼
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The sixteenth triangle is
▼
Because:
The pattern at the end seems to be 2 ▼ and 3 ▲
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1$\begingroup$ what about the beginning of the sequence? $\endgroup$ Mar 10, 2018 at 14:26
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The next triangle is:
▲
Because
The overall sequence is {1,2,3,3} UP triangles, with {1,2,2,1} DOWN triangles in between. The next group of triangles will be pointing up, since it's their turn. There will be 2 of them in this group because their pattern sequence (reflecting the down triangle's pattern) is {1,2,3,3,2,1}.
