 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that time the sequence if a n is equal to n upon n square plus 1. Now let us start with the solution. Here we have to find a sequence when the function of the sequence is given and the function is given by a n is equal to n upon n square plus 1 and we know that the domain of the sequence is accepted by the integer. It means n can take values such as 1, 2, 3, 4 and so on. We have to find the sequence of terms given by a1, a2, a3, a4 and so on and now we can find a1, a2, a3 and so on. So first we put n is equal to 1 in the function and we get a1 is equal to n that is 1 upon n square plus 1. So we get 1 square plus 1 which is equal to 1 upon 1 plus 1 that is 2. So a1 is equal to 1 by 2. Now putting n is equal to 2 in a n that is this function we get a2 is equal to 2 upon 2 square plus 1 which is equal to 2 upon 2 square is 4 plus 1 that is 2 by 5. So a2 is given by 2 by 5. Similarly putting n is equal to 3 in a n we get a3 is equal to 3 upon 3 square plus 1 which is equal to 3 upon 9 plus 1 that is 3 by 10. So we say that a3 is given by 3 upon 10. Now putting n is equal to 4 in a n we get a4 is equal to 4 upon 4 square plus 1 which is equal to 4 upon 16 plus 1 that is 4 by 17. So a4 is given by 4 by 17. Thus we have found out a1 is equal to 1 by 2, a2 is equal to 2 by 5, a3 is equal to 3 by 10, a4 is equal to 4 by 17. Similarly we can calculate a5, a6 and so on. So sequence will be given by 1 by 2, 2 by 5, 3 by 10, 4 by 17 and so on. This is the required sequence. This completes our session. Hope you enjoyed this session.