Hits: 3007
Hits: 3007 Question A ball is such that when it is dropped from a height of 1 metre it bounces vertically from the ground to a height of 0.96 metres. It continues to bounce on the ground and each time the height the ball reaches is reduced. Two different models, A and B, describe this. Model A : The […]
Hits: 920 Question The first term of a progression is and the second term is . i. For the case where the progression is arithmetic with a common difference of 12, find the possible values of and the corresponding values of the third term. ii. For the case where the progression is geometric with a sum to infinity of 8, find the […]
Hits: 2179 Question a) The first term of an arithmetic progression is −2222 and the common difference is 17. Find the value of the first positive term. b) The first term of a geometric progression is and the second term is , where . Find the set of values of for which the progression is convergent. Solution a) […]
Hits: 2348 Question a) The first, second and last terms in an arithmetic progression are 56, 53 and −22 respectively. Find the sum of all the terms in the progression. b) The first, second and third terms of a geometric progression are 2k + 6, 2k and k + 2 respectively, where k is a positive constant. […]
Hits: 3046 Question a) The third and fourth terms of a geometric progression are and respectively. Find the sum to infinity of the progression. b) A circle is divided into 5 sectors in such a way that the angles of the sectors are in arithmetic progression. Given that the angle of the largest sector is 4 times the […]