|CLASS11| |SEQUENCES AND SERIES| |EXERCISE9.2| |QueNo-13| | @Maths with shimna |

EXERCISE9.2EXERCISE9.2 1. Find the sum of odd integers from 1 to 2001.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   2. Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   3.In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is –112.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   4. How many terms of the A.P. – 6, -11/2 , – 5, … are needed to give the sum –25?    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   5. In an A.P., if pth term is 1/qand qth term is 1/p, prove that the sum of first pq terms is 1/2(pq+1), where p ≠ q.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   6. If the sum of a certain number of terms of the A.P. 25, 22, 19, … is 116. Find the last term.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   7. Find the sum to n terms of the A.P., whose kth term is 5k + 1.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   8. If the sum of n terms of an A.P. is (pn + qn2), where p and q are constants, find the common difference.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   9. The sums of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the ratio of their 18th terms.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   10. If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   11. Sum of the first p, q and r terms of an A.P. are a, b and c, respectively. Prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=0    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   12.The ratio of the sums of m and n terms of an AP IS m^2:n^2,Show that the ratio of m and n terms is (2m-1):(2n-1).    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   13.If the sum of n terms of an AP is 3n^2+5n and its m term is 164,find the value of m.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   #SEQUENCES AND SERIES #EXERCISE9.2 #@Maths with shimna, #QueNo-11 Hi all, In today's session we will solve #11. Sum of the first p, q and r terms of an A.P. are a, b and c, respectively. Prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=0 . Learn more tips in details by watching the complete video. If you have any queries , ask in the comment box . We hope this session will help you to score maximum marks in MATHEMATICS ..ALL THE VERY BEST.. Like , Share and comment on this video. Subscribe to our channel to get more informative and interesting videos. 8. If the sum of n terms of an A.P. is (pn + qn2), where p and q are constants, find the common difference.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   1. Find the sum of odd integers from 1 to 2001.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   2. Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   3.In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is –112.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   4. How many terms of the A.P. – 6, -11/2 , – 5, … are needed to give the sum –25?    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   5. In an A.P., if pth term is 1/qand qth term is 1/p, prove that the sum of first pq terms is 1/2(pq+1), where p ≠ q.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   6. If the sum of a certain number of terms of the A.P. 25, 22, 19, … is 116. Find the last term.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   7. Find the sum to n terms of the A.P., whose kth term is 5k + 1.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   8. If the sum of n terms of an A.P. is (pn + qn2), where p and q are constants, find the common difference.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   9. The sums of n terms of two arithmetic progressions are in the ratio 5n + 4 : 9n + 6. Find the ratio of their 18th terms.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   10. If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   11. Sum of the first p, q and r terms of an A.P. are a, b and c, respectively. Prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=0    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...   #SEQUENCES AND SERIES #EXERCISE9.2 #@Maths with shimna, #QueNo-11 Hi all, In today's session we will solve #11. Sum of the first p, q and r terms of an A.P. are a, b and c, respectively. Prove that a/p(q-r)+b/q(r-p)+c/r(p-q)=0 . Learn more tips in details by watching the complete video. If you have any queries , ask in the comment box . We hope this session will help you to score maximum marks in MATHEMATICS ..ALL THE VERY BEST.. Like , Share and comment on this video. Subscribe to our channel to get more informative and interesting videos. 8. If the sum of n terms of an A.P. is (pn + qn2), where p and q are constants, find the common difference.    • |CLASS11| |SEQUENCES AND SERIES| |EXERCISE...