Deductions & credits

I see this statement in the form: ". The credit is allowed each year for up to the first five years", which means, I can claim $5000 credit for each year I worked in OK in that sector for up to the first five years. However, if I work in OK in the same sector continuously for up to 10 years, then I can only use this $5000 credit for each year for the first five years.  I will not be allowed to claim this $5000 credit in the 6th and any years afterwards.

 

I could see nowhere says that I can't claim the credit in consecutive years. I am sorry, but can we clarify this further?