1990 AJHSME Problems/Problem 21
Contents
Problem
A list of numbers is formed by beginning with two given numbers. Each new number in the list is the product of the two previous numbers. Find the first number if the last three are shown:
Solution
We just use the definition to find the first number is .
Solution 2
If we do we get
, then we do
giving
again, then
is
and
is
and finally
gives
as the answer. Which is
See Also
1990 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 20 |
Followed by Problem 22 | |
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