Difference between revisions of "2008 AMC 10B Problems/Problem 13"
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Revision as of 12:27, 4 July 2013
Problem
For each positive integer , the mean of the first terms of a sequence is . What is the 2008th term of the sequence?
Solution
Since the mean of the first terms is , the sum of the first terms is . Thus, the sum of the first terms is and the sum of the first terms is . Hence, the 2008th term is
Note that is the sum of the first n odd numbers.
See also
2008 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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 10 Problems and Solutions |
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