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2011 AMC 10AProblem 17P16-20~3 minPrint
Sequences & SeriesAlgebraic ManipulationSet up the equation/formula and compute; no special trick neededCompute small cases, spot the pattern, generalize

In the eight-term sequence A,B,C,D,E,F,G,HA,B,C,D,E,F,G,H , the value of CC is 5 and the sum of any three consecutive terms is 30. What is A+HA+H ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.