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 :
\(\frac{{{3^{10}}}}{2}\)
310 - 210
243 × (35 -1)
310 - 25
None of these
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The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
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The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, the number of terms is
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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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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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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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If three numbers be in G.P., then their logarithms will be in
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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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If the sum of n terms of an A.P. be 3n2 + n and its common difference is 6, then its first term is
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The sum of the first and third term of an arithmetic progression is 12 and the product of first and second term is 24, then first term is
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