1960 AHSME Problems/Problem 36
Contents
[hide]Problem
Let be the respective sums of terms of the same arithmetic progression with as the first term and as the common difference. Let . Then is dependent on:
Solution
The nth term of the sequence with first term is . That means the sum of the first terms is with first term is .
The 2nth term of the sequence with first term is . That means the sum of the first terms is with first term is .
The 3nth term of the sequence with first term is . That means the sum of the first terms is with first term is .
Substituting , , and with its respective values results in
The answer is .
Video Solution
https://youtu.be/ZdM2ou5Gsuw?t=89
MathProblemSolvingSkills.com
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 35 |
Followed by Problem 37 | |
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