Say that the economy is in a recession, which is causing the value of gold to fall by three percent. If you have gold reserves w
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1/4 = 3/12, and 5/4 = 15/12, so it looks like there's a common difference between terms of 4/12 = 1/3. The the -th term in the sequence is given recursively by
By substitution, we get
and doing this again and again until we stop with an expression containing , we find that
Then the 12th term in the sequence is