The common difference of the A.P. \(\frac{1}{{2b}} \frac{{1 - 6b}}{{2b}} \frac{{1 - 12b}}{{2b}}\) . . . . . is
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After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.
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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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The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?
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If the sum of p terms of an A.P. is q and the sum of q terms is p, then the sum of (p + q) terms will be
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5
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How many 2-digit positive integers are divisible by 4 or 9?
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6
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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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Consider an infinite G.P. with first term a and common ratio r, its sum is 4 and the second term is 3/4, then
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8
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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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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 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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