Find largest possible constant M such that, for any sequence an, n=0,1,2,... of real numbers, that satisfies the conditions :
i) a0=1, a1=3
ii) a0+a1+...+an−1≥3an−an+1 for any integer n≥1
to be true that
anan+1>M for any integer n≥0. algebrainequalitiesSequence