Find the nth term of the following sequence :
5 + 55 + 555 + . . . . Tn
5(10n - 1)
5n(10n - 1)
5/9×(10n−1)
(5/9)n×(10n−1)
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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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2
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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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3
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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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4
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The sum of the first and third term of an arithmetic progression is 12 and the product of first and second term is 24, then first term is
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5
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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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6
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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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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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8
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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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9
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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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10
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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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