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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What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
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2
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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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3
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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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4
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The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?
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5
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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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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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7
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If S1 is the sum of an arithmetic progression of ‘n’ odd number of terms and S2 is the sum of the terms of the series in odd places, then \(\frac{{{S_1}}}{{{S_2}}}\)
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Which term of the A.P. 24, 21, 18, ............ is the first negative term?
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9
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A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?
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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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