Pattern Recognition – What is the Next Picture in This Sequence?

pattern recognition

I was reading a book on logical reasoning and came across the following:

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Can anyone give me the answer to the question. We want the next sequence ?

Best Answer

There is no one right answer to this type of questions. The next element can be anything you want.

That is one of the typical IQ questions of the type what is the next in a sequence, by inferring it from the previous values.

The answer is, the next item can be anything you want, the book can come up with some rules to justify the next element, but so can anyone.

For example given the sequence 1,2,3,4,5,6,7,8,9, what is the next element? It is very easy to construct a function where the next elements will be $\pi , -1 , 0$ , ( look up Lagrange Interpolation).

This is not a logic question, the book is using a wrong example regarding (mathematical) logic.

But a constructive sequence rule like $2k, k=1,2,3,4,..,n$, will let you know how to construct the elements.

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