Buy an App for iPhone can i also use it on iPad ?

At the moment i have my Mac Book Pro and an iPad2, i am soon to get an iPhone as well ....
I have been browsing through the iTunes App Store i fancy buying Pages and Numbers, i already have and use these on my MacBookPro, so if i buy these two apps for my (soon to be mine) iPhone can i use the same apps on my iPad2 as well, without buying them again ?
I bet this is the dumbest question of the day, because i would hope that one copy of each should be enough !.  It must surely work along the same lines as buying music albums in iTunes, i can share the same albums across all of my devices !!!!!
tim

There is no device limit for the number of iPods, iPads, and iPhones that can be synced with the same iTunes library and iTunes account on the same computer, and this included 3rd party apps for the iPod Touch, iPad, and iPhone.

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