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 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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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 a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:
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If sum of n terms of an A.P. is 3n2 + 5n and Tm = 164 then m =
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Find the nth term of the following sequence :
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If the sums of n terms of two arithmetic progressions are in the ratio \(\frac{{3n + 5}}{{5n + 7}}\) then their nth terms are in the ration
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Which term of the A.P. 92, 88, 84, 80, ...... is 0?
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The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is
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For an A.P. if a25 - a20 = 45, then d equals to:
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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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