Question 1023742: 7,11,10,10,17,37,76 what is the eighth term
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
List them in a row.
Then subtract every number from any number that is on
its immediate right, and place that difference between
and below the numbers that you subtracted, creating a
new row with 1 less number in it. Then make a new row
doing the same. Keep doing this until you come to a
row that has all the same numbers in it:
7 11 10 10 17 37 76
4 -1 0 7 20 39
-5 1 7 13 19
6 6 6 6
We stop with the third row because it has all 6's
We write another 6 at the end of that row of 6's:
7 11 10 10 17 37 76
4 -1 0 7 20 39
-5 1 7 13 19
6 6 6 6 6
Now work backwards. Add the 6 to the 19, getting 25.
Place it to the right of the 19
7 11 10 10 17 37 76
4 -1 0 7 20 39
-5 1 7 13 19 25
6 6 6 6 6
Add the 25 to the 39, getting 64.
Place it to the right of the 39.
7 11 10 10 17 37 76
4 -1 0 7 20 39 64
-5 1 7 13 19 25
6 6 6 6 6
Add the 64 to the 76 and get 140.
Place it right of the 76
7 11 10 10 17 37 76 140
4 -1 0 7 20 39 64
-5 1 7 13 19 25
6 6 6 6 6
The next number is 140.
Edwin
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