1970 AHSME Problems/Problem 22
Contents
[hide]Problem
If the sum of the first positive integers is more than the sum of the first positive integers, then the sum of the first positive integers is
Solution 1
We can setup our first equation as
Simplifying we get
So our roots using the quadratic formula are
Since the question said positive integers, , so
Solution 2
Expressing as an equation:
The sum of the first 4n positive integers =
We will try to rearrange Equation (1) to give equation (2)
300 is the answer
〜Melkor
See also
1970 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 21 |
Followed by Problem 23 | |
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