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

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

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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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OSWAAL PUBLICATION-SAMPLE PAPER 5-EXERCISE
  1. Find the sum of the sequence 7,77,777,7777,…….n terms

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

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  3. Find the derivative of the function '-x' with respect to 'x' using fir...

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  4. Find the centre and radius of the circle x^(2) + y^(2) + 8x + 10y - 8 ...

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  5. How many words, with or without meaning can be made from the letters o...

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  6. How many words, with or without meaning can be made from the letters o...

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  7. How many words, with or without meaning can be made from the letters o...

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  8. Verify by the method of contradiction that sqrt(2) is irrational .

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  9. Find the probability that when a hand of 7 cards is drawn from a well ...

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  10. Find the probability that when a hand of 7 cards is drawn from a well ...

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  11. Define greatest integer function .Draw its graph ,write its domain ...

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  12. Prove thatunderset(thetararr0)lim(Sintheta)/theta =1 , (theta being in...

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  13. 1/1.4+1/4.7+1/7.10+...+1/((3n-2)(3n+1))=n/((3n+1)) forall n in N.

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  14. How many words with or without meaning each of 3 vowels and 2 consonan...

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  15. Find a if the 17^th and 18^th terms of the expansin (2 + a)^50are equa...

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  16. Derive the equation of the line with slope m and y-intercept c.Also fi...

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  17. Prove that cos^(2)+x+cos^(2) (x+pi/3)+cos^(2)(x-pi/3)=3/2 and hence fi...

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  18. A manufacturer has 600 litres of a 12% solution of acid. How many litr...

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  19. Find the sum to 'n' terms of 1.2.3 +2.3.4+3.4.5+……

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  20. Suppose f(x)={{:(a+bx",",xlt1),(4",",x-1),(b-ax",",xgt1):} and if li...

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