What are the next 3 numbers in the pattern and why 5 7 14 16 33

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What are the next 3 numbers in the pattern and why 5 7 14 16 33

5: add 2 to get 7
7: add 7 to get 14
14: add 2 to get 16
16: add 17 to get 33
33: add 2 to get 35  <<<<<<
35: add 27 to get 62  <<<<<<
62: add 2 to get 64  <<<<<<<
by Level 11 User (78.4k points)

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