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March 2019 - Math Problem

In this​ sequence of numbers (3, 7, 10, 17, 27), after the first two, each number is the sum of the previous two numbers. If you want the fifth number to equal​ 100, what two positive numbers could you start with?

Solution:

One possibility is 35 and 10 (35, 10, 45, 55, 100)

Another is 20 and 20 (20, 20, 40, 60, 100)

How many more can you come up with?

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