The common difference of the A.P. \(\frac{1}{3}, \frac{{1 - 3b}}{3} , \frac{{1 - 6b}}{3}\) . . . . . . is
\(\frac{1}{3}\)
\( - \frac{1}{3}\)
-b
b
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1
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What is the sum of the following series? -64, -66, -68, ......, -100
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2
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A piece of equipment cost a certain factory 6,00,000. If it depreciates in value, 15% the first year, 13.5% the next year, 12% the third year, and so on, what will be its value at the end of 10 years, all percentages applying to the original cost?
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3
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What is the sum of all positive integers up to 1000, which are divisible by 5 and are not divisible by 2?
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4
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Which term of the A.P. 24, 21, 18, ............ is the first negative term?
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5
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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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6
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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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7
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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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8
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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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9
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The 3rd and 9th term of an arithmetic progression are -8 and 10 respectively. What is the 16th term?
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10
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For A.P. T18 - T8 = ........ ?
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