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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2
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If an A.P. has a = 1, tn = 20 and sn = 399, then value of n is :
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3
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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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4
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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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5
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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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6
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Which term of the A.P. 92, 88, 84, 80, ...... is 0?
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7
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Find the nth term of the following sequence :
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8
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In an A.P., if d = -4, n = 7, an = 4, then a is
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9
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What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
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10
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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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