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 sum of first five multiples of 3 is:
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2
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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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3
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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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4
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Find the n^{th} term of the following sequence :
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5
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Sum of n terms of the series \(\sqrt 2 + \sqrt 8 + \sqrt {18} + \sqrt {32} + \) ....... is
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6
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The 2^{nd} and 6^{th} term of an arithmetic progression are 8 and 20 respectively. What is the 20^{th} term?
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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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Which term of the A.P. 92, 88, 84, 80, ...... is 0?
Solution 
9
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A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
Solution 
10
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If 18, a, b  3 are in A.P. then a + b =
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