1953 AHSME Problems/Problem 25
Problem
In a geometric progression whose terms are positive, any term is equal to the sum of the next two following terms. then the common ratio is:
Solution
Given first term and common ratio , we have , and. We divide by in the first equation to get . Rewriting, we have . We use the quadratic formula to get . Because the terms all have to be positive, we must add the discriminant, getting an answer of .
See Also
1953 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 24 |
Followed by Problem 26 | |
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