What are the next two numbers in the pattern 3,6,5,10,9,18,17.

34 and 33 because the pattern goes # x 2 then - 1

This pattern appears to alternate between doubling and subtracting by 1.

To get from 3 to 6, we multiply by two.

To get from 6 to 5, we subtract one.

To get from 5 to 10, we multiply by two.

To get from 10 to 9, we subtract one.

To get from 9 to 18, we multiply by two.

To get from 18 to 17, we subtract one.

Therefore, next we need to multiply by two.

17 x 2 = 34

So, the next number is 34.

To find the number after, we subtract one.

34 - 1 = 33

Thus, the number after is 33.

In conclusion, the next two numbers are 34 and 33.