Saturday, October 23, 2010

Combined Sequences

Problem Level: 4 

Find the sum of this unique sequence: 1,2,5,8,8,11,14,15,17, 20, 22,23... 121

Hint:
I have decided not to put a solution so I can challenge some people.  Only use the hint when you cannot find a solution.

We see no real pattern in the sequence from one number to another.  Many questions form when two eights show.  This tells us that there is a +0 somewhere. 

After much analysis, most people will give up.

What you need to know is to look at patterns between numbers, not necessarily at consecutive numbers.
But what these people overlook is that this sequence is made up of two sequences:
1,8,15,22... (up to 121) and
2,5,8,11,14,17,20,23... 121

After we have successfully decoded the message, the rest is up to you to finish it.

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