Difference between revisions of "2011 AMC 12A Problems/Problem 8"

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== Problem ==
 
== Problem ==
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In the eight term sequence <math>A</math>, <math>B</math>, <math>C</math>, <math>D</math>, <math>E</math>, <math>F</math>, <math>G</math>, <math>H</math>, the value of <math>C</math> is <math>5</math> and the sum of any three consecutive terms is <math>30</math>. What is <math>A+H</math>?
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<math>
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\textbf{(A)}\ 17 \qquad
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\textbf{(B)}\ 18 \qquad
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\textbf{(C)}\ 25 \qquad
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\textbf{(D)}\ 26 \qquad
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\textbf{(E)}\ 43 </math>
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== Solution ==
 
== Solution ==
 
== See also ==
 
== See also ==
 
{{AMC12 box|year=2011|num-b=7|num-a=9|ab=A}}
 
{{AMC12 box|year=2011|num-b=7|num-a=9|ab=A}}

Revision as of 02:33, 10 February 2011

Problem

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

$\textbf{(A)}\ 17 \qquad \textbf{(B)}\ 18 \qquad \textbf{(C)}\ 25 \qquad \textbf{(D)}\ 26 \qquad \textbf{(E)}\ 43$

Solution

See also

2011 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions