Asequence {un) is given by the recurrence relation anti un+1 = un + att for n= 1,2,3, and the initial term ui = 3. (a) showing your working, use the recurrence relation to compute un for n = 2,3,4,5. (b) give a proof by induction to show that un= 2 - (n + 2)2-" for all n 2 1.

Linda and ralph have signed a contract to purchase a home. the closing date is april 27, and the buyer owns the property on the day of closing. the selling price of the home is $782,500. linda and ralph obtained a fixed-rate mortgage from a bank for $685,000 at 7.35% interest. the seller has already paid $14,578.15 in property taxes for the coming year. how much will linda and ralph owe in prorated expenses? (3 points) $64,925.65 $34,347.06 $10,496.82 $9,945.06