Raspberry canes

I bought 12 raspberry canes a couple of months ago (4 each of 3 varieties).
One of the varieties has shot into life , put on several inches of new growth and lots of green leaves.
The other two varieties don't seem to have done anything at all - sticks in the ground really.... They do seem to have some tiny purplish buds on some of them, but i don't remember if they were on when I bought them.
My question is - should they have all started to grow now whatever variety they are. I know that a bought a variety of cropping canes ie, summer and autumn and I think it is the autumn ones that haven't moved....(i ought to have kept the names of the varieties but didn't   )

Thanks for any advice you can give....

Thanks
I have looked into it further...the ones that have not started to grow are cascade delight which as summer fruiting.....I suppose all I can do is keep an eye on them and hope