The existential crisis of every mathematician staring at a sequence! That series (1, 2, 4, 8, 16...) looks suspiciously like powers of 2, making the next number 32. BUT WAIT—is it actually 2ⁿ? Or is it 2ⁿ⁻¹? Or maybe it's some bizarre sequence where the next term is 31 because of some obscure pattern involving prime factorization? Or perhaps 30 because it follows a hidden second-order recurrence relation?
The true mathematician knows that option D is technically correct. Without a formal definition, infinite sequences can follow countless valid patterns. That's why they're drenched in nervous sweat—because in mathematics, assuming the pattern without proof is the ultimate sin!
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