 Hi and welcome to the session. I'm Kanika and I'm going to help you to solve the following question. The question says write the first five terms of each of the sequences in exercises 11 to 13 and obtain the corresponding series. 11 part is A1 is equal to 3, An is equal to 3 into An minus 1 plus 2 for all n greater than 1. Before solving this question we should know that if A1, A2, so on, An is the given sequence then the expression A1 plus A2 so on plus An plus so on is called the series associated with the given sequence. Let's now begin with the solution. As we are given the first term of this sequence so we have to only find the next four terms of this sequence by using the relation An is equal to 3 into An minus 1 plus 2. Since we need to find second, third, fourth and fifth term therefore we will put n as 2, 3, 4 and 5. So we are given that A1 is equal to 3 and as we have to find the next four terms therefore we will put n as 2, 3, 4 and 5 and An is equal to 3 into An minus 1 plus 2. By substituting n as 2 in this expression we get A2 is equal to 3 into A1 plus 2. Now A1 is equal to 3 so this is equal to 3 into 3 plus 2 and this is equal to 9 plus 2 and 9 plus 2 is equal to 11. By substituting n as 3 in this expression we get A3 is equal to 3 into A3 minus 1 plus 2 and this is equal to 3 into A2 plus 2. We know that A2 is equal to 11 so this is equal to 3 into 11 plus 2 and this is equal to 33 plus 2 and 32 sorry 33 plus 2 is equal to 35. By substituting n as 4 we get A4 is equal to 3 into A4 minus 1 plus 2 this is equal to 3 into A3 plus 2 and this is equal to 3 into 35 as A3 is equal to 35 plus 2 and this is equal to 105 plus 2 and 105 plus 2 is equal to 107. By substituting n as 5 we get A5 is equal to 3 into A5 minus 1 plus 2 this is equal to 3 into A4 plus 2 now A4 is equal to 107 so this is equal to 3 into 107 plus 2 and this is equal to 321 plus 2 321 plus 2 is equal to 323. Hence the required first five terms of this sequence are 3 11 35 107 and 323 and the corresponding series is 3 plus 11 plus 35 plus 107 plus 323 plus so on. This is our required answer so this completes the session. Bye and take care. you