1958 AHSME Problems/Problem 40
Contents
Problem
Given ,
, and the general relation
for
. Then
equals:
Solution
Using the recursive definition, we find that .
Sidenote
All the terms in the sequence are integers. In fact, the sequence
satisfies the recursion
.
See Also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 39 |
Followed by Problem 41 | |
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