Actually, the sequence terminates - there is no next number. Reason? Because this lists the degrees of polynomials that have a general solution formula. All first, second, third, and fourth degree polynomials have a solution formula, but it has been proved that higher degree polynomials can not be solved using only the elementary operations. This was first proved by Abel, and later more generally by Galois
Step-by-step explanation:
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Actually, the sequence terminates - there is no next number. Reason? Because this lists the degrees of polynomials that have a general solution formula. All first, second, third, and fourth degree polynomials have a solution formula, but it has been proved that higher degree polynomials can not be solved using only the elementary operations. This was first proved by Abel, and later more generally by Galois
Step-by-step explanation: