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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If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?
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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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3
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The 4th and 7th term of an arithmetic progression are 11 and 4 respectively. What is the 15th term?
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4
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The 3rd and 6th term of an arithmetic progression are 13 and 5 respectively. What is the 11th term?
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5
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What is the sum of the following series? 64, 66, 68, ......, 100
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6
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What is the sum of the first 13 terms of an arithmetic progression if the first term is 10 and last term is 26?
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7
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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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8
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Two A.P.’s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th terms is
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9
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If the sums of n terms of two arithmetic progressions are in the ratio \(\frac{{3n + 5}}{{5n + 7}}\) then their nth terms are in the ration
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10
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After striking the floor, a rubber ball rebounds to 4/5th of the height from which it has fallen. Find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.
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