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MOTION-SEQUENCE & SERIES -Exercise -2 (Level -I) Objective Problems /JEE Main AP
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- IF , a(1),a(2),a(3),….,a(n) are in AP with common difference d ( wher...
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- If the sum of an infinite G.P. be 3 and the sum of the squares of its ...
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- If x^2+9y^2+25 z^2=x y z((15)/2+5/y+3/z),t h e n x ,y ,a n dz are in ...
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- If b+ c,c + a, a +b are in H.P then show that a^2,b^2,c^2 are in
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- If first and second terms of a HP are a and b, then its n^(th) term wi...
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- If a,b,c are in A.P., then (bc)/(ca+ab),(ca)/(bc+ab),(ab)/(bc+ca)
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- If p is positive, then the sum to infinity of the series, 1/(1+p) -(1-...
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- Find the sum of the series 1-3/2+5/4-7/8+9/16..........oo
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- Find the sum of n terms of the series the r^(th) term of which is (2r+...
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- If Hn=1+1/2+1/3+.... +1/n, then value of 1+3/2+5/3+....+(2n-1)/n is
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- Find the sum of all possible products of the first n natural numbers t...
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- {an} and {bn} are two sequences given by an=(x)^(1//2^n) +(y)^(1//2^n)...
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- If G1 and G2 are two geometric means and A is the arithmetic mean inse...
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- If sum of A.M. and H.M between two numbers is 25 and their GM is 12, t...
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- Find two numbers whose arithmetic mean is 34 and the geometric mean is...
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- The ratio between the GM’s of the roots of the equations ax^2+bx+c=0 a...
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- One side of an equilateral triangle is 24 cm. The midpoints of its sid...
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- If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...
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