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# Series

Sun 6 Sep, 2009 06:21 am
2,4,7,?,33,

What is the missing term and why?
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Type: Question • Score: 0 • Views: 1,362 • Replies: 3
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markr

1
Tue 29 Sep, 2009 01:05 pm
@whimsical,
Hi Whim!

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

whimsical

1
Wed 30 Sep, 2009 11:13 am
@markr,
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. :-)
markr

1
Fri 2 Oct, 2009 11:28 am
@whimsical,
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.
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