Dr. Huasong Yin, Author of MathCounts Preparation: How to Excel... School Math Competitions. Question of the Day 3/11/2014

Dr. Huasong Yin, Author of MathCounts Preparation: How to Excel at Middle
School Math Competitions.
Question of the Day 3/11/2014
1
Question: c  7  49  7  49  7   . What is the value of c 2  ?
c
Solution: The pattern suggests that c  7  49  c .
c 2  7  49  c .
c 4  14c 2  c  0  c 2  14 
Answer: 14
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49  c  7  c 2 . 49  c  7  c 2
1
1
 0  c 2   14 .
c
c
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2
 49  14c 2  c 4 .