The given sequence is: 1013, 509, 121, 322, 704, 315.

To determine the pattern in the sequence, let's compare the differences between consecutive terms:

Difference between 509 and 1013 = 1013 - 509 = 504 Difference between 121 and 509 = 509 - 121 = 388 Difference between 322 and 121 = 322 - 121 = 201 Difference between 704 and 322 = 704 - 322 = 382 Difference between 315 and 704 = 704 - 315 = 389

The differences are not constant. However, if we observe the differences more closely, we can see that they alternate between increasing and decreasing:

504, 388, 201, 382, 389

If we split the differences into two separate sequences:

504, 201, 389 (sequence A) 388, 382 (sequence B)

Sequence A shows a pattern where the differences decrease by 203 each time (504 - 203 = 301, 301 - 203 = 98). This pattern suggests that the next difference in sequence A would be 389 - 203 = 186.

Sequence B shows a pattern where the differences decrease by 6 each time (388 - 6 = 382 - 6 = 376). This pattern suggests that the next difference in sequence B would be 382 - 6 = 376 - 6 = 370.

Now, let's add these differences back to the last term in each sequence to find the next terms in the original sequence:

1013 + 186 = 1199 (next term after 315) 315 + 370 = 685 (next term after 704)

So, the next two terms in the sequence would be 1199 and 685

1013 509 121 e 322 704 315

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