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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The 7th and 12th term of an arithmetic progression are -15 and 5 respectively. What is the 16th term?
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2
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Which term of the A.P. 92, 88, 84, 80, ...... is 0?
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3
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The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:
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4
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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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5
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If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?
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6
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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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7
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A square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely. If a side of the first square is 4 cm, determine the sum of the areas all the square.
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8
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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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9
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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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10
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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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