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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In an A.P., if d = -4, n = 7, an = 4, then a is
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The sum of first n odd natural numbers in
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What is the sum of the following series? -64, -66, -68, ......, -100
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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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If Sn denote the sum of the first n terms of an A.P. If S2n = 3Sn , then S3n : Sn is equal to
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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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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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Find the nth term of the following sequence :
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9
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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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The sum of n terms of an A.P. is 3n2 + 5n, then 164 is its
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