Series

Hi Whim!

I'll guess 16. I'll explain my odd reasoning if it is correct.

Hi Mark,

Please explain your odd guess. I do not know the answer.
There is a solution with two terms missing, namely 12 and 20
2, 4, 7, 12, 20, 33

12 + 20 = 32. Which coincidentally is two times your answer. :-)

Yes, the differences are consecutive fibonacci numbers.

I was thinking they were powers of 2 or powers of 2 +/- 1 based on whether the number of the term was a power of 2. Since we're looking for the 4th term and 4 is a power of 2, I figured it was 16. I strongly doubt that is the pattern.

If you picked either 12 or 20, you'd still have a sequence with fibonacci number differences. However, they would not be consecutive.