The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
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Let S denotes the sum of n terms of an A.P. whose first term is a. If the common difference d is given by d = S_{n} – k S_{n1} + S_{n2} then k =
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If a, b, c are in A.P., then (a – c)^{2}/ (b^{2} – ac) =
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The nth term of an A.P., the sum of whose n terms is Sn, is
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Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is
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If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
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If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?
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Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
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If a + 1, 2a + 1, 4a  1 are in A.P., then the value of a is:
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What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is 1 and the 8th term is 19?
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A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
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