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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(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n  1 times) = ......
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2
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If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is
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3
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Which term of the A.P. 24, 21, 18, ............ is the first negative term?
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4
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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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5
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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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6
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What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
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7
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If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?
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8
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Find the n^{th} term of the following sequence :
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9
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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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10
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The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its
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