The non-negative difference between two numbers $a$ and $b$ is $a-b$ or $b-a$, whichever is greater than or equal to 0 . For example, the non-negative difference between 24 and 64 is 40. In the sequence $88,24,64,40,24, \ldots$, each number after the second is obtained by finding the non-negative difference between the previous 2 numbers. The sum of the first 100 numbers in this sequence is
(A) 496
(B) 760
(C) 752
(D) 776
(E) 405
A good first step is to write out more terms in the sequence to see if we see a pattern:

$$
88,24,64,40,24,16,8,8,0,8,8,0,8,8,0,8, \ldots
$$

So after some beginning terms, the sequence starts to repeat blocks of " $8,8,0$ ". (We can see that this will always happen: after " 8,0 ", the next term is $8-0=8$, so we get " $8,0,8$ "; after " 0,8 ", the next term is $8-0=8$, so we get " $8,0,8,8$ "; after " 8,8 ", the next term is $8-8=0$, so we get " $8,0,8,8,0$ ", so the pattern continues.)

So in the first 100 numbers we have the first 6 terms (88, 24, 64, 40, 24, 16), and then 31 blocks of " $8,8,0$ " ( 93 terms in total), and then the 100th term will be the beginning of a new block " $8,8,0$ " (ie. the number 8 ).

Therefore, the sum of the first 100 terms is

$$
88+24+64+40+24+16+31(8+8+0)+8=256+31(16)+8=760
$$

ANSWER: (B)