Can you figure this sequence out?

[septor]

Hello, I'm very new here and this is my first post Dyey!).

Lately I've been trying to understand patterns in sequences but this one has got me stumped:
{7, -3, 10, -13, 23, -36, 59...}

I would like to try to predict what the next terms are, and be able to identify the mathematical skeleton behind this but all I can see is that it it goes from positive to negative and repeats and that the numbers get larger.
I'm very puzzled by this and don't know where to begin.

Thanks in advance for any help

 

[Deleted member 4993]

Very clever Denis ... I have to admit..

If the n th number in the sequence is a_n - then absolute value makes it positive. That is expressed as |a_n|

Then what Denis said translates to:

a_n*(-1)^n-1 = |a_n-2| + |a_n-1| where n ≥ 3 and a₁ = 7 and a₂ = -3

 

[septor]

Very clever Denis ... I have to admit..

If the n th number in the sequence is a_n - then absolute value makes it positive. That is expressed as |a_n|

Then what Denis said translates to:

a_n*(-1)^n-1 = |a_n-2| + |a_n-1| where n ≥ 3

Ohhhh, thanks guys! Makes much sense!