So you dont have any fish?
If you are doing a fishless cycle you also need an ammonia source as a substitute for fish waste so the beneficial bacteria responsible for your cycle can grow.
Did you add an ammonia source? Normally either an aquarium specific ammonium chloride product (eg Dr Tims Ammonium Chloride), pure ammonia, fish food that will produce ammonia as it decomposes, or a cocktail shrimp that again produces ammonia as it decomposes.
Without ammonia there is nothing for the beneficial bacteria to consume, no ammonia, no nitrite, no nitrate.
It typically takes 6 to 8 weeks of dosing ammonia before your beneficial bacteria has grown enough to be considered cycled.
I can give more details on how to do a fishless cycle. Or consider getting your betta and doing a fish in cycle.