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8 term sequence

Source: 2011 AMC A Problem 17

June 25, 2011
AMC

Problem Statement

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?
<spanclass=′latex−bold′>(A)</span> 17<spanclass=′latex−bold′>(B)</span> 18<spanclass=′latex−bold′>(C)</span> 25<spanclass=′latex−bold′>(D)</span> 26<spanclass=′latex−bold′>(E)</span> 43<span class='latex-bold'>(A)</span>\,17 \qquad<span class='latex-bold'>(B)</span>\,18 \qquad<span class='latex-bold'>(C)</span>\,25 \qquad<span class='latex-bold'>(D)</span>\,26 \qquad<span class='latex-bold'>(E)</span>\,43
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