summation of peaking sequences

**yyttr2** · Nov11-09, 11:18 PM

well, peaking is just a term I gave to a sequence that progresses normally, but when it gets to the point of regression, the pattern changes. this is a bad explanation so here is an example:

take the sequence as follows:
2+4+6+7+6+4+2
now look at this sequence
2+4+6+4+2
whats the difference? 7+6
so, that sequence plus the ( peak + (peak- (delta-1)))
if this is so then we can reduce the equation to a progressive to regressive sequence.

so the equation would turn out to be
$LaTeX Code: \\frac{(Rp-1)^{2}}{2}+ (2Rp-1)$ (in the occasion at least, you can write it to accommodate all)

so
2+4+6+7+6+4+2=31

and
$LaTeX Code: \\frac{(6)^{2}}{2}+ (7+6)=31$

I believe this is correct for a peak of -1. as for a peak equal to delta... it is just:
$LaTeX Code: Rp^{2}+2Rp-1$

This is as far as I have come, if anyone is willing to add one of there long algebraic explanations to this topic that explains this I would be very happy (hwmaltby!!) :).

Once I learn how to do them (remind you I have not done anything that I am currently doing independently in school) I will do this without help more. And I must come here because my teachers are on the same level of thought as I am lol.