19. 200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed and…
18. A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A of radii 0.5, 1.0 cm, 1.5 cm, 2.0 cm, ……… as shown in figure. What is the total length…
17. In a school, students thought of planting 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 the same as the…
16. A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of…
15. A contract on construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc., the penalty…
14. Find the sum of the odd numbers between 0 and 50. Arithmetic Progressions Exercise 5.3 Previous Next Class 10 Arithmetic Progressions Exercise 5.3 1. Find the sum of the following APs: (i) 2, 7, 12 ,…, to 10 terms. …
13. Find the sum of first 15 multiples of 8. Arithmetic Progressions Exercise 5.3 Previous Next Class 10 Arithmetic Progressions Exercise 5.3 1. Find the sum of the following APs: (i) 2, 7, 12 ,…, to 10 terms. (ii) –…
12. Find the sum of first 40 positive integers divisible by 6. Arithmetic Progressions Exercise 5.3 Previous Next Class 10 Arithmetic Progressions Exercise 5.3 1. Find the sum of the following APs: (i) 2, 7, 12 ,…, to 10 terms. …
11. If the sum of the first n terms of an AP is (4n – n^2 ), what is the first term (that is (S_1 ))? What is the sum of first two terms? What is the second term? Similarly…
10. Show that (a_1, a_2 … , a_n , … ) form an AP where an is defined as below: (i) (a_n = 3 + 4n ) (ii) (a_n = 9 – 5n ) Also find the sum of the…
