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AMC sequences & series problems

Arithmetic and geometric sequences, summation, telescoping and recursively defined terms.

235 problems in the archive use these ideas — 107 from the AMC 10 and 128 from the AMC 12.

Picks a problem you have not seen, at about the difficulty you are handling.

60 most recent problems

Newest contests first. Every problem opens with its answer choices, hints and a worked solution.

Use Start sequences & series practice above to keep going through the remaining 175, or browse them by contest in the AMC 12 and AMC 10 archives.

Back to all algebra problems.