SOLUTION: After the first two terms in the following sequence, each number is the sum of the preceding two terms. Find the missing numbers. 4, __, __, __, __, 67

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Question 783818: After the first two terms in the following sequence, each number is the sum of the preceding two terms. Find the missing numbers.
4, __, __, __, __, 67
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
Since the second and 5th terms aren't given, guess the second term. Complete the sequence, then see if you need to guess lower or higher.


Guess 10: 4, 10, 14, 24, 38, 62... It needs a higher 2nd term, but not much higher.


Guess 12: 4, 12, 16, 28, 44, 72... It needs a lower 2nd term. The only lower integer is 11. Try it. Hopefully it isn't some number plus fraction like 11.5.


4, 11, 15, 26, 41, 67... 11 works.

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