The price of houses increases at 10% per year. Show that the price P n in the

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The price of houses increases at 10% per year. Show that the price Pn in the nth year satisfies the recurrence relation

Pn+1 = 1.1Pn

A house is currently priced at £80 000. What was its price two years ago? What will be its price in five years’ time? After how many years will its price be double what it is now?

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