If k, 2k – 1 and 2k + 1 are three consecutive terms of an AP, the value of k is
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If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is :
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The common difference of the A.P. \(\frac{1}{{2b}} \frac{{1 - 6b}}{{2b}} \frac{{1 - 12b}}{{2b}}\) . . . . . is
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(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......
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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 = Sn – k Sn-1 + Sn-2 then k =
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The 3rd and 7th term of an arithmetic progression are -9 and 11 respectively. What is the 15th term?
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6
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If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to
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7
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What is the sum of the first 12 terms of an arithmetic progression if the 3rd term is -13 and the 6th term is -4?
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The first and last term of an A.P. is a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \(\frac{{{l^2} - {a^2}}}{{k - \left( {l + a} \right)}}\) then k = ?
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Sum of n terms of the series \(\sqrt 2 + \sqrt 8 + \sqrt {18} + \sqrt {32} + \) ....... is
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10
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The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is
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