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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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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2
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For A.P. T18 - T8 = ........ ?
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3
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The 3rd and 8th term of an arithmetic progression are -13 and 2 respectively. What is the 14th term?
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4
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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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5
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Consider an infinite G.P. with first term a and common ratio r, its sum is 4 and the second term is 3/4, then
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6
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The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?
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7
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What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?
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8
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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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9
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The number of terms of the A.P. 3, 7, 11, 15, ....... to be taken so that the sum is 406 is
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10
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The first term of an Arithmetic Progression is 22 and the last term is -11. If the sum is 66, the number of terms in the sequence are:
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