Mathematics

Mathematics

Problem

Which one of the following conditions must hold for a sequence {an}\{a_n\} to be a geometric progression? a) an+1−ana_{n+1}-a_n is constant for every nn b) an+1−anan\dfrac{a_{n+1}-a_n}{a_{n}} is constant for every nn c) an+1an\dfrac{a_{n+1}}{a_n} is constant for every nn d) an+1+ana_{n+1}+a_n is constant for every nn

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