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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- If a,b,c are in H.P. show that a/(b+c),b/(c+a),c/(a+b) are also in H.P...
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- Prove that the sum of n arithmatic means between two numbers is n time...
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- Find the sum to n terms of the series: 5+11+19+29+41.....
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- Find the sum of n terms of the series 3+7+14+24+37+.....
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- Find the sum of series 3+8+22+72+266+1036+....
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- Prove that sum(n=1)^infty n/(4n^4+1) equals to 1/4.
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- Prove that sum(n=1)^infty n/(4n^4+1) equals to 1/4.
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- Show that the sum of sum(n=1)^infty n/(n^4+4) equals to 3/8
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- Show that the sum of sum(n=1)^infty n/(n^4+4) equals to 3/8
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- Find the sum of first n terms of the series 3/1^2+5/(1^2+2^2)+7/(1^2+2...
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- Find the sum of the series 1/(1.2.3.4)+1/(2.3.4.5)+1/(3.4.5.6)+..........
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- Find the sum of 2.3+3.4+4.5+......to n terms.
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- If a,b,c are positive real no., then prove that [(1+a)(1+b)(1+c)]^7 g...
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- If a,b,c are the sides of a triangle and s=(a+b+c)/2 , prove that 8(s-...
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- Prove that a^4+b^4+c^4>abc(a+b+c). [a,b,c are distinct positive real n...
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- Show that the greatest value of xyz(d-ax-by-cz) is d^4/(4^4abc).
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- Prove that ((a+b)/2)^(a+b) le a^a.b^b.[a,binN].
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- N arithmetic means are inserted in between x and 2y and then between 2...
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- Let Sn denote the sum upto n terms of an AP . If Sn=n^2P and Sm=m^2P ...
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- If s1 ,s2 and s3 are the sum of first n,2n,3n terms respectively of an...
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