 Hello and welcome to the session. In this session we will discuss a question which says that find the next three members of the sequence defined by a1 is equal to 1, a2 is equal to 0 and an plus 2 is equal to 3 an plus 1 minus an. Now let us start with the solution of the given question. Here first term of the sequence that is a1 is given as 1 and second term of the sequence that is a2 is given as 0. We have given a reference relation a n plus 2 is equal to 3 a n plus 1 minus an. Now we have to find next three members of the sequence that means we have to find a3 a4 and a5. Now n can take positive values only. Now let us name this relation as 1. Now as n can take positive values only. So let us put n is equal to 1, 2 and 3 to obtain the required terms. First of all let us put n is equal to 1 in the relation which is given by equation number 1. So this will be a now as n is 1 so it will be a1 plus 2 is equal to 3 a1 plus 1 minus a1 which implies a3 is equal to 3 a2 minus a1. Now we have a1 is equal to 1 and a2 is equal to 0. So putting these values here this implies a3 is equal to 3 into 0 minus 1 which implies a3 is equal to 0 minus 1 which is equal to minus 1. Therefore a3 is equal to minus 1. And now we will put n is equal to 2 in this relation. So putting n is equal to 2 in 1 we get plus 2 is equal to 3 plus 1 minus a2. This implies a4 is equal to 3 a3 minus a2. Now a3 is equal to minus 1 and a2 is equal to 0. Putting these values here this implies a4 is equal to 3 into minus 1 minus and this gives a4 is equal to minus 3 minus 0 which is equal to minus 3. Now to obtain next term we will put n is equal to 3 in equation 1 and we get a3 plus 2 is equal to 3 a3 plus 1 minus a3 which implies a5 is equal to 3 a4 minus a3 and a3 is equal to minus 1. So putting these values here this implies 3 into minus 3 minus of minus 1 which further implies now 3 into minus 3 is minus 9 and minus of minus 1 is plus 1 this implies a5 is equal to minus a minus 1 equal to minus 3 and a5 is equal to minus a in sequence minus 1. So this is the solution of the given question and that's all for this session. Hope you all have enjoyed the session.