In the sequence 88, 24, 64, 40, 24, . . ., each number after the second is obtained by finding the non-negative difference between the previous 2 numbers. Find the sum of the first 100 numbers in this sequence.
If I understand your question, you take the absolute value of any 2 terms for the next term. Unless I goofed somewhere, this is what your sequence looks like:
sum(88, 24, 64, 40, 24, 16, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8)=760
Note: Check it carefully!
