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Find the sum of n terms of the series (1...

Find the sum of n terms of the series `(1)/(1+1^(2)+1^(4))+(2)/(1+2^(2)+2^(4))+(3)/(1+3^(2)+3^(4))+"....."`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find the sum of n terms\ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+do...

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  2. Obtain the sum of the series : 1/1.4+1/4.7+1/7.10 + .......... to n t...

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  3. Find the sum of n terms of the series (1)/(1+1^(2)+1^(4))+(2)/(1+2^(2)...

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  4. Show that : (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. ...

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  5. What will Rs 500 amounts to in 10 years after its deposit in a bank wh...

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  6. A man deposited ₹ 10,000 in a bank at the rate of 5% simple interest a...

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  7. If a, b, c are in A.P. then 3^a, 3^b, 3^c are in:

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  8. If the third term of an A.P is 12 and the seventh term is 24, then the...

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  9. If a, b, c, d, e,f are in A.P., then e - c is equal to

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  10. The third term of a GP is 3. What is the product of the first five ter...

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  11. 5th term of a G.P. is 2, then the product of first 9 terms is:

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  12. If the pth , qth , rth , terms of a GP . Are x,y,z respectively prove ...

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  13. The sum of the first n odd number is :

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  14. If the sum of n natural numbers is one sixth of their squares, then n ...

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  15. The sum of the numbers 1, 4, 9, 16, ... , 100 is :

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  16. If p, q, r are in A.P. while x, y, z are in G.P., prove that x^(q-r).y...

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  17. If a^x=b^y=c^z and a, b, c are in G.P. then x,y,z are in :

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  18. If a,b,c are in AP and (a+2b-c)(2b+c-a)(c+a-b)=lambdaabc, then lambda...

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  19. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

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  20. Sum of the series 1^(2) + 3^(2) + 5^(2) + … + n^(2) is :

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