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1/(2*5)+1/(5*8)+1/(8*11)+............1/(...

`1/(2*5)+1/(5*8)+1/(8*11)+............1/((3n-1)(3n+2))=n/((6n+4)) forall n in N.`

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1/1.4+1/4.7+1/7.10+...+1/((3n-2)(3n+1))=n/((3n+1)) forall n in N.

Prove that by using the principle of mathematical induction for all n in N : (1)/(2.5)+ (1)/(5.8) + (1)/(8.11)+ ...+(1)/((3n-1)(3n+2))= (n)/(6n+4)

1/1.2+1/2.3+1/3.4+…………….+1/(n(n+1))=n/(n+1) forall n in N.

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1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

1+2+3+............+n=(n(n+1))/2 forall n in N.

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a+ar+ar^(2)+...+ar^(n-1)=(a(1-r^(n)))/(1-r) forall n in N.

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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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