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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The first and last term of an A.P. is a and l respectively. If S is the sum of all the terms of the A.P. and the common difference is given by \(\frac{{{l^2} - {a^2}}}{{k - \left( {l + a} \right)}}\) then k = ?
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2
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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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3
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The sum of first n odd natural numbers in
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4
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If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be
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5
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The common difference of the A.P. \(\frac{1}{{2b}} \frac{{1 - 6b}}{{2b}} \frac{{1 - 12b}}{{2b}}\) . . . . . is
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6
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If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least, then the numbers are
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7
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What is the sum of the following series? -64, -66, -68, ......, -100
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8
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If a, b, c are in A.P., then (a – c)2/ (b2 – ac) =
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9
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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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10
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The two geometric means between the number 1 and 64 are
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