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Hits: 0 Question a.In an arithmetic progression, the sum of the first ten terms is equal to the sum of the next five terms. The first term is . i.Show that the common difference of the progression is . ii.Given that the tenth term is 36 more than the fourth term, find the value of […]
Hits: 84 Question Find the coefficient of x in the expansion of . Solution We are required to find the coefficient of in the expansion of given expression. We are given expression as; Expression for the general term in the Binomial expansion of is: First rewrite the given expression in standard form. In the […]
Hits: 26 Question a) The third and fourth terms of a geometric progression are and respectively. Find the sum to infinity of the progression. b) Two schemes are proposed for increasing the amount of household waste that is recycled each week. Scheme A is to increase the amount of waste recycled each month by 0.16 […]
Hits: 40 Question i. The first and second terms of a geometric progression are p and 2p respectively, where p is a positive constant. The sum of the first n terms is greater than 1000p. Show that 2n > 1001. ii. In another case, p and 2p are the first and second terms […]