Sum of n terms of the series \(\sqrt 2 + \sqrt 8 + \sqrt {18} + \sqrt {32} + \) ....... is
\(\frac{{n\left( {n + 1} \right)}}{2}\)
\(2n\left( {n + 1} \right)\)
\(\frac{{n\left( {n + 1} \right)}}{{\sqrt 2 }}\)
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(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n  1 times) = ......
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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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What is the sum of the first 17 terms of an arithmetic progression if the first term is 20 and last term is 28?
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If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is
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Find the nth term of the following sequence :
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6
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In an A.P., if d = 4, n = 7, a_{n} = 4, then a is
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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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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 :
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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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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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