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Find the sum to n terms of the series 1^...

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

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If n is odd then the sum of n terms of the series 1^(2)-2^(2)+3^(2)-4^(2)+5^(2)-6^(2)-.. .. .. .. is

The sum of n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+ (7)/(1^(2)+2^(2)+3^(2))+.. .. .. is

Find the sum to 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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Sum of 10 terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1+2^(2)+3^(2))+.. .

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OSWAAL PUBLICATION-SAMPLE PAPER 3-EXERCISE
  1. One card is drawn from a well shuffled deck of 52 cards. If each outco...

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  2. One card is drawn from a well shufflied deck of 52 cards.If each out c...

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  3. One card is drawn from a well shuffled deck of 52 cards. If each outco...

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  4. A fair coin with 1 marked on one face and 6 on the other and a fair d...

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  5. A fair coin with 1 marked on one face and 6 on the other and a fair d...

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  6. Define a modulus function . Draw its graph. Also write down its domai...

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  7. Prove that cos^(2)2x-cos^(2)6x=sin4x.sin8x ?

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  8. 1/(2*5)+1/(5*8)+1/(8*11)+............1/((3n-1)(3n+2))=n/((6n+4)) foral...

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  9. Solve the following system of inequalities graphically : 5x + 4y ...

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  10. What is the number of ways of choosing 4 cards from a pack of 52 play...

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  11. What is the number of ways of choosing 4 cards from a pack of 52 cards...

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  12. What is the number of ways of choosing 4 cards from a pack of 52 play...

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  13. What is the number of ways of choosing 4 cards from a pack of 52 play...

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  14. Derive the expression for the length of the perpendicular drawn from t...

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  15. Prove that underset(xrarr0)lim(sinx/x=1) ?

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  16. The mean and standard deviation of 100 observations were calculated as...

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  17. The mean and standard deviation of 100 observations were calculated as...

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  18. prove that cos(A+B)=cosAcosB-sinAsinB

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  19. Find the derivative of f(x)=2x^2+3x-5,also prove that f'(0)+3f'(-1)=0.

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  20. Find the sum to n terms of the series 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)...

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