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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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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2
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If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is :
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3
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If the 7th term of a H.P. is 1/10 and the 12th term is 1/25, then the 20th term is
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4
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For an A.P. if a25 - a20 = 45, then d equals to:
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5
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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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6
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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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7
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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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8
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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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9
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If log 2, log (2x -1) and log (2x + 3) are in A.P, then x is equal to ___
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10
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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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