2008 AMC 10B Problems/Problem 13
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
See also
2008 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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All AMC 10 Problems and Solutions |