In the given series.
5 , 5 , 8 , 8 , 11 , __ , __
5 × 1 = 5
5 + 3 = 8
8 × 1 = 8
8 + 3 = 11
11 × 1 = 11
11 + 3 = 14
In the given series, the second number is 1 times the previous number and the number after the second number is 3 more than the previous number. Again the next number is 1 times the previous and the number after it is 3 more than the previous number and so on.
Therefore the missing numbers are 11 and 14.