Provisional and Terminal tax are both types of Income Tax. If at the end of the financial year it turns out that you've overpaid your tax - that is what you have paid in provisional tax through the year exceeds the tax owing at the end of the year, the excess will be refunded to you (unless you have other debts with Inland Revenue or you would like Inland Revenue to use it to pay another tax liability).
If the provisional tax payments you've made don't cover your tax owing, the balance is called "terminal tax" and you must pay it by the terminal tax due date.
When working with RightWay we'll help ensure that you pay the right amount of provisional tax to cover your income tax so you aren't faced with a big terminal tax bill at the end of the year. Call 0800 555 024 if you have any questions regarding this.