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Sum of nth terms of AP for class 10th maths by Ashish Sir
‪@Integralganit‬

Your Queries:-
36.The sum of the 4th and the 8th terms of an AP is 24 and the sum of its 6th and 10th terms is 44. Find the sum of its first 10 terms. (CBSE 2013C],

37. The sum of first m terms of an AP is (4m² -m). If its nth term is 107, find the value of n. Also, find the 21st term of this AP. [CBSE 2013],

38. The sum of first q terms of an AP is (63q-3q²). If its pth term is-60, find the value of p. Also, find the 11th term of its AP. [CBSE 2013],

39. Find the number of terms of the AP-12, -9, -6, ..., 21. li 1 is added to each term of this AP then find the sum of all terms of the AP thus obtained. [CBSE 2013],

40. Sum of the first 14 terms of an AP is 1505 and its first term is 10. Find its 25th term. [CBSE 2012) M. Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively,

42. In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees that each section of each class will plant will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by students, Which value is shown in the question? [CBSE 2014],

43. In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are 10 potatoes in the line. A competitor starts from the bucket, picks up the nearest potato, runs back with it, drops it in the bucket, runs back to pick up the next potato, runs to the bucket to drop it in, and he continues in the same way until all the potatoes are in the bucket. What is the total distance the competitor has to run? 5m 3m,3m,3m Secondary School Mathematics for Class 10,

44. There are 25 trees at equal distances of 5 m in a line with a water tank, the distance of the water tank from the nearest tree being 10 m. A gardener waters all the trees separately, starting from the water tank and returning back to the water tank after watering each tree to get water for the next. Find the total distance covered by the gardener in order to water all the trees. 10 m 5m,5m,25th tree,

45. A sum of 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is 20 less than its preceding prize, find the value of each prize,

46. A man saved 33000 in 10 months. In each month after the first, he saved 100 more than he did in the preceding month. How much did he save in the first month,

47. A man arranges to pay off a debt of 36000 by 40 monthly instalments which form an arithmetic series. When 30 of the instalments are paid, he dies leaving one-third of the debt unpaid. Find the value of the first instalment,

48. A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: 200 for the first day, 250 for the second day, 300 for the third day, etc., the penalty for each succeeding day being 50 more than for the preceding day. How much money the contractor has to pay as penalty, if he has delayed the work by 30 days,

49. A child puts one five-rupee coin of her savings in the piggy bank on the first day. She increases her saving by one five-rupee coin daily. If the piggy bank can hold 190 coins of five rupees in all, find the number of days she can contribute to put the five-rupee coins into it and find the total money she saved. [CBSE 2017],

50. Show that the sum of all terms of an AP whose first term is a, the second term is b and the last term is c, is equal to (b+c-2a)(a+c)/2(b-a) [CBSE 2020),

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