The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, … begins with two 1s, and each later number in the sequence is the sum of the previous two numbers.
Other Fibonacci-like sequences can be constructed by starting with any two numbers and (not necessarily 1 and 1) and using the same rule for creating the other numbers in the sequence.
What is the first term of the Fibonacci-like sequence whose second term is 4 and whose fifth term is 22?
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Intermediate Mathematical Challenge 2002 (2002)
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