 Hi and welcome to the session I am Shashi and I am going to help you to solve the following question. Question is in the following APs find the missing terms in the boxes given AP is minus 4 blank box blank box blank box blank box 6. Now clearly we have to find the second term, third term, fourth term and the fifth term. Let us now start with the solution first of all we will rewrite the AP given in the question that is minus 4 then blank box blank box blank box blank box blank box 6. Now let the missing four terms that is the second term, third term, fourth term and fifth term be A2, A3, A4 and A5. Let the second, third, fourth and fifth missing terms of AP be A2, A3, A4, A5 then given AP is minus 4, A2, A3, A4, A5, 6. Now clearly the first term of the AP is minus 4 and the sixth term of the AP is equal to 6. So we can write A is equal to minus 4 that is the first term of AP and sixth term that is A6 is equal to 6. Now we know N8 term of AP is equal to A plus N minus 1 multiplied by T. Now substituting for N6 we get A6 is equal to A plus 6 minus 1 multiplied by T. Now we get A6 is equal to A plus 5T. We know A is equal to minus 4 so we will substitute minus 4 for N and A6 is equal to 6. So we will substitute 6 for A6 so we get 6 is equal to minus 4 plus 5T. This implies 6 plus 4 is equal to 5T. Now this further implies 5D is equal to 10. This implies D is equal to 10 divided by 5 equal to 2 therefore we get D is equal to 2. Now we know second term A2 is equal to A plus T so A is equal to minus 4 and D is equal to 2 so we get minus 4 plus 2 is equal to minus 2. So second term of the AP is equal to minus 2 similarly we can find third term of AP by adding D in the second term so we get minus 2 plus 2 is equal to 0 so third term of the AP is equal to 0. Now we will find the fourth term, fourth term of AP is equal to third term of AP plus D so we get 0 plus 2 is equal to 2 so fourth term of AP is equal to 2 similarly we can find the fifth term by adding the common difference in the previous term that is the fourth term so we will get 2 plus 2 equal to 4 so fifth term is equal to 4. So we can write the given AP is minus 4 minus 2 0 2 4 6 minus 2 0 2 4 are the missing terms of AP so this completes the session hope you understood the session take care