for each sequence give the next two terms2,3,5,7,11 ...1,4,2,16,3,64,4,....,1/1,2/2,4/3,7/411/,5..1,1,2,4,3,9 4...

Question

For each if the following sequence give the next two terms 

1. 2,3,5,7,11..
2. 1,4,2,16,64,4
3. ¹/₁,²/₂,⁴/₃,⁷/₄,¹¹/₅...
4. 1,1,2,4,3,9,4

Answer 1

1. Sequence: 2, 3, 5, 7, 11, ...
   This appears to be a sequence of prime numbers.
   Next two terms: 13, 17
2. Sequence: 1, 4, 2, 16, 64, 4, .
   It seems like this sequence alternates between squaring and taking the square root of the previous term.
   Next two terms: 256, 16
3. Sequence: 1/1, 2/2, 4/3, 7/4, 11/5, ...
   The numerator appears to be increasing by 1 each time, and the denominator is increasing by 1 as well.
   Next two terms: 16/6, 22/7
4. Sequence: 1, 1, 2, 4, 3, 9, 4, ...
   This sequence seems to alternate between squaring and adding 1 to the previous term.
   Next two terms: 16, 5

Answer 2

1.15,19