- #1
Zetep
- 2
- 0
Shown below is a 4 by 4 matrix:
999 998 997 996
729 648 567 486
126 192 210 192
12 18 ? 18
So far, I've not come up with the 'missing' number, but in the process of attempting to develop some sort of 'magic' solution, I've found some interesting relationships with the other numbers.
For example, the average of a(1,2) and a(1,4), 998 and 996, is the a(1,3) number 997. Then, the average of a(2,2) and a(2,4), 648 and 486, is the C(2,3) number 567.
There seems to be other relationships, i.e., a(3,2) plus a(4,2) equals a(3,3). So does
a(3,4) plus a(4,4) equal a(3,3). Plus other similar associations.
Evidently, my once keen mind is not so keen these days with being able to solve this 'mysterious' matrix. Any counsel, advice and/or assistance would be seriously appreciated.
Zetep
999 998 997 996
729 648 567 486
126 192 210 192
12 18 ? 18
So far, I've not come up with the 'missing' number, but in the process of attempting to develop some sort of 'magic' solution, I've found some interesting relationships with the other numbers.
For example, the average of a(1,2) and a(1,4), 998 and 996, is the a(1,3) number 997. Then, the average of a(2,2) and a(2,4), 648 and 486, is the C(2,3) number 567.
There seems to be other relationships, i.e., a(3,2) plus a(4,2) equals a(3,3). So does
a(3,4) plus a(4,4) equal a(3,3). Plus other similar associations.
Evidently, my once keen mind is not so keen these days with being able to solve this 'mysterious' matrix. Any counsel, advice and/or assistance would be seriously appreciated.
Zetep