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Find the sum of the series upto n terms ...

Find the sum of the series upto n terms `((2n+1)/(2n-1))+3((2n+1)/(2n-1))^2+5((2n+1)/(2n-1))^3+.....`

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^3+ to n t...

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  3. Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...

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  5. If the first and the nth terms of a G.P are a and b , respectively, an...

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  6. Find the sum of first 10 evenwhole number.

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  7. Find the sum of the natural numbers less than 100, which are divisible...

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  8. If the terms of the A.P, sqrt(a-x),sqrt(x),sqrt(a+x) are all in integ...

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  9. For a ,x ,>0 prove tht at most one term of the G.P. sqrt(a-x),sqrt(x),...

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  10. If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1/1^2+1/3^2+1...

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  11. Coefficient of x^(18) in (1+x+2x^2+3x^3++18 x^(18))^2 equal to 995 b. ...

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  18. The maximum sum of the series 20+19 1/3+18 2/3+...... is (A) 310 (B) ...

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  20. Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...

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