perplexus.info :: Sequences : A bizarre sequence

A bizarre sequence (Posted on 2003-07-28)

Here's a sequence:

2, 4, 8, 13, 20, 29, _, _.

What numbers go into the blanks, and what is the rule for the sequence?

Submitted by Lewis

Rating: 3.5000 (4 votes)

Solution: (Hide)

DJ explains why the numbers are 41 and 57 here
Another possibility is to get the Nth term, you just add the Nth term from the triangle number sequence and the Nth term from the Fibonacci sequence:
Triangle Numbers : 1, 3, 6, 10, 15, 21, 28, 36.
Fibonacci Numbers : 1, 1, 2, 3, 5, 8, 13, 21
Add them together to get : 2, 4, 8, 13, 20, 29, 41, 57, so the numbers that go in the blanks are 41 & 57.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2008-04-01 12:26:14
Answer	K Sengupta	2008-04-01 12:14:16
No Subject	Sean	2005-11-01 13:32:09
Explanation	DJ	2003-07-29 12:56:08
re: answer	Viet	2003-07-29 09:35:36
re: answer (hint)	Lewis	2003-07-29 06:40:39
answer	ohad	2003-07-29 03:35:15
re: solution	Lewis	2003-07-29 03:15:43
re: solution	Charlie	2003-07-29 02:49:48
solution	ohad	2003-07-29 02:39:16
A little hint	Lewis	2003-07-28 21:40:32
re: solution	Charlie	2003-07-28 15:13:36
re: solution	Lewis	2003-07-28 10:36:24
solution	derek	2003-07-28 10:33:47

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