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A piggy bank contains 20 pennies, 18 nickels, 25 dimes, and 12 quarters. A coin is chosen, it is not replaced and another is cho
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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