Answer
Step by step text solution for Find the sum of series 4-9x+16x^2-25x^3+36x^4-49x^5+..... to infinite. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
- If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1-1/2^2+1/3^2...
02:45
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- Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...
11:54
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- Find the sum of series 4-9x+16x^2-25x^3+36x^4-49x^5+..... to infinite...
04:18
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- If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2
07:19
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- If a,b,c are in H.P. show that a/(b+c),b/(c+a),c/(a+b) are also in H.P...
04:56
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- Prove that the sum of n arithmatic means between two numbers is n time...
04:04
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- Find the sum to n terms of the series: 5+11+19+29+41.....
03:41
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- Find the sum of n terms of the series 3+7+14+24+37+.....
04:13
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- Find the sum of series 3+8+22+72+266+1036+....
07:20
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- Prove that sum(n=1)^infty n/(4n^4+1) equals to 1/4.
03:41
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- Prove that sum(n=1)^infty n/(4n^4+1) equals to 1/4.
03:41
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- Show that the sum of sum(n=1)^infty n/(n^4+4) equals to 3/8
06:04
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- Show that the sum of sum(n=1)^infty n/(n^4+4) equals to 3/8
06:04
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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...
04:03
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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)+..........
07:14
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- Find the sum of 2.3+3.4+4.5+......to n terms.
04:58
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- If a,b,c are positive real no., then prove that [(1+a)(1+b)(1+c)]^7 g...
06:18
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- If a,b,c are the sides of a triangle and s=(a+b+c)/2 , prove that 8(s-...
04:53
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- Prove that a^4+b^4+c^4>abc(a+b+c). [a,b,c are distinct positive real n...
06:36
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- Show that the greatest value of xyz(d-ax-by-cz) is d^4/(4^4abc).
03:55
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