Sequences and series › Arithmetic sequences › Arithmetic and geometric together

Greatest number from two sequences

High school · ●●○○○ 20 pts

What is the greatest three-digit number abc‾\overline{abc} such that 4,a,b4, a, b form a geometric sequence and b,c,5b, c, 5 form an arithmetic sequence? Here aa, bb, cc are digits.

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geometric sequencesdigit problems