1969 AHSME Problems/Problem 9
Problem
The arithmetic mean (ordinary average) of the fifty-two successive positive integers beginning at 2 is:
Solution
To solve the problem, find the sum of the first terms of an arithmetic sequence with first term and common difference and divide that by . The term of the sequence is , so the sum of the first terms of the sequence is . Thus, the arithmetic mean is .
See also
1969 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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