Sequences and series › Arithmetic sequences › Arithmetic and geometric together

Least difference between geometric and arithmetic terms

Middle school · ●●○○○ 20 pts

Sequence AA is a geometric sequence and sequence BB is an arithmetic sequence. Each sequence stops as soon as one of its terms is greater than 300300. Sequence AA: 2,4,8,16,32,…2, 4, 8, 16, 32, \ldots. Sequence BB: 20,40,60,80,100,…20, 40, 60, 80, 100, \ldots. Find the least positive difference between a number selected from sequence AA and a number selected from sequence BB.

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geometric sequencesdivisibilityoptimization