Find the nth term of the following sequence :
5(10n - 1)
5n(10n - 1)
\(\frac{5}{9} \times \left( {{{10}^n} - 1} \right)\)
\({\left( {\frac{5}{9}} \right)^n} \times \left( {{{10}^n} - 1} \right)\)
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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 a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:
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3
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If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is
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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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If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 term is
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6
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What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?
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7
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If a, b, c are in A.P., then (a – c)2/ (b2 – ac) =
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8
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What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?
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9
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Which term of the A.P. 92, 88, 84, 80, ...... is 0?
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10
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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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