35 58 87 119 155 196
Let's form a difference table. To do that let's
subtract each from its right neighbor and place
the diference between and below wach pair subtracted
on the second row. Then do the same with that row
and the row below it.
35 58 87 119 155 196
23 29 32 36 41
6 3 4 5
-3 1 1
There are 2 1's on the bottom row. Let's change the
-3 on the bottom row to 1 also, so we'd have all 1's
on the bottom row.
35 58 87 119 155 196
23 29 32 36 41
6 3 4 5
1 1 1
That would make the 6 have to be a 2, so that 3-2 = 1
So let's change the 6 to 2
35 58 87 119 155 196
23 29 32 36 41
2 3 4 5
1 1 1
That would make the 23 have to be a 27, so that 29-27=2
So let's change the 23 to 27
35 58 87 119 155 196
27 29 32 36 41
2 3 4 5
1 1 1
That would make the 35 have to be a 31, so that 58-31=27.
So let's change the 35 to 31
31 58 87 119 155 196
27 29 32 36 41
2 3 4 5
1 1 1
Answer: the first number 35, is wrong, and should be 31.
Edwin
