Patterns in mathematics can NOT be the representation of which of the following?
Theorems
Recognising a pattern lets a learner notice a possible regularity and state it as a conjecture or a hypothesis — an informed guess that is yet to be established.
A pattern can also be used to check whether such a guess continues to hold across further cases, so patterns support the process of verification as well.
A theorem, however, is a statement that has already been rigorously and logically proved from accepted axioms and previously proved results — a pattern observed across several cases, however convincing, is not itself a proof and cannot substitute for one.
Hence, patterns in mathematics cannot be the representation of theorems.
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