Difference between revisions of "1974 AHSME Problems/Problem 29"
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Latest revision as of 11:44, 5 July 2013
Problem
For let be the sum of the first terms of the arithmetic progression whose first term is and whose common difference is ; then is
Solution
The term of an arithmetic progression with a first term and a common difference is . Therefore, the sum of the first terms of such a progression is .
We now want to evaluate .
See Also
1974 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
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