How to continue this sequence from 64 combinations of Six Equal Parts, to 128 Combinations for Seven Equal Parts
I have a sequence that I need to continue. it is for my music rhythm course but involves an arithmetic sequence I believe and I'm getting quite confused.
The image on the left is the official sequence. If you look at five equal parts, the total combination of the lines comes up with 32 Combinations.
Now if you look at the Six equal parts, you see 64 Combinations.
My task is to create the Seven equal parts, so adding a 7 to the sequence. I should, in the end, have 128 combinations.
You have a starting of 1 dot, all the way up to 6 dots, and have to come up with all the combinations and variations with x amount of dots.
My method is to eliminate from right to left with one dot.
1 2 3 4 5 6 .
1 2 3 4 5 . 7
1 2 3 4 . 6 7
1 2 3 . 5 6 7
and then when I start with the dots from right to left, and focus on eliminating one number specifically.
2 Dots eliminating 7
1 2 3 4 5 . .
1 2 3 4 . 6 .
1 2 3 . 5 6 .
1 2 . 4 5 6 .
And then I will do the same with 2 dots eliminating 6 and so on until I have done all the eliminations possible,
My issue comes, when I get to the end and have to start eliminating from 3 down to 1, I don't know whether I am doing something wrong.
If there is a flaw in my process please let me know I am happy to be put on the correct path as this has been a process of frustration and roadblocks!