text: maths problem, need immediate help!!!? the sequence of integers u(0),u(1),u(2),... is defined by u(0)=2 and u(n+1)=1-2u(n) for n≥0. prove by induction that u(n)=1/3(1+5(-2)^(n)). state, with a reason, if the squence u(0),u(1),u(2),..., is convergent.  i only need the answer for the second part and can anyone tell me how to type subscript on this yahoo ask thing. please help me answer and make me feel happy again! this sequence is divergent. i forget the therom you are supposed to use but its probably the second one in this chapter of your text book. you would use the solution to the first part to show that the therom pertains to this sequence.  you can see that its divergent because the sign keeps changing and the mangnitude is increasing as n increases.