1997 AHSME Problems/Problem 6
Problem
Consider the sequence
whose th term is . What is the average of the first terms of the sequence?
Solution
The average of a list is the sum of all numbers divided by the size of the list.
The sum of the list can be found by adding the numbers in pairs:
The sum of each pair is , and there are pairs, so the total sum is .
There are numbers on the list, so the average is , and the answer is
See also
1997 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
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