in which of the following situations , the sequence of numbers formed will form an ap i) the cost of digging a well for the first metre is ₹150 and rises by ₹20 for each succeeding metre ii) the amount of air present in the cylinder when a vaccum pump removes each time 1/4 of their remaining in the cylinder iii)divya deposited ₹1000bat compound interest at the rate of 10 % per annum . the amount at the end of first year , second year, third year ,..., and so on.
Answers
Step-by-step explanation:
Cost of digging a well for the first meter (c1) = Rs.150. And, the cost rises by Rs.20 for each succeeding meter Then, Cost of digging for the second meter (c2) = Rs.150 + Rs 20 = Rs 170 Cost of digging for the third meter (c3) = Rs.170 + Rs 20 = Rs 210 Hence, its clearly seen that the costs of digging a well for different lengths are 150, 170, 190, 210, …. Evidently, this series is in A∙P. With first term (a) = 150, common difference (d) = 20 (ii) Given, Let the initial volume of air in a cylinder be V liters each time 3th/4 of air in a remaining i.e 1 -1/4 First time, the air in cylinder is V. Second time, the air in cylinder is 3/4 V. Third time, the air in cylinder is (3/4)2 V. Thus, series is V, 3/4 V, (3/4)2 V,(3/4)3 V, …. Hence, the above series is not a A.P. (iii) Given, Divya deposited Rs 1000 at compound interest of 10% p.a So, the amount at the end of first year is = 1000 + 0.1(1000) = Rs 1100 And, the amount at the end of second year is = 1100 + 0.1(1100) = Rs 1210 And, the amount at the end of third year is = 1210 + 0.1(1210) = Rs 1331 Cleary, these amounts 1100, 1210 and 1331 are not in an A.P since the difference between them is not the same.Read more on Sarthaks.com - https://www.sarthaks.com/651685/in-which-of-the-following-situations-the-sequence-of-numbers-formed-will-form-an-a-p