1973 AHSME Problems/Problem 28
Problem
If , , and are in geometric progression (G.P.) with and is an integer, then , , form a sequence
Solution
Using the change of base formula, the three logarithmic terms can be written as Since , , and are members of a geometric sequence, and . That means the three logarithmic terms can be rewritten as Note that if we take the reciprocals of each term, the next term can be derived from the previous term by adding , so the answer is .
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 27 |
Followed by Problem 29 | |
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