Answer:
The pattern is that every number is added by [tex]8[/tex] and the next two terms are [tex]45[/tex] and [tex]53[/tex] :
Next two terms
↓ ↓
[tex]-3, 5, 13, 21, 29, 37, 45, 53[/tex]
↑ ↑ ↑ ↑ ↑ ↑ ↑
[tex]+ 8[/tex] [tex]+8[/tex][tex]+8[/tex] [tex]+8[/tex] [tex]+8[/tex] [tex]+8[/tex] [tex]+8[/tex]
