Home
Class 12
MATHS
If Hn=1+12++1/ndot , then the value of S...

If `H_n=1+12++1/ndot` , then the value of `S_n=1+3/2+5/3++(99)/(50)` is `H_(50)+50` b. `100-H_(50)` c. `49+H_(50)` d. `H_(50)+100`

A

`H_50+50`

B

`100-H_50`

C

`49+H_50`

D

`H_50+ 100`

Text Solution

Verified by Experts

The correct Answer is:
B
`S_(n)=1+3/2+5/3+..+99/50`
`=(2-1)+(2-1/2)+(2-1/3)+..+(2-1/50)`
`=100-H_(50)`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise EXERCIESE ( MULTIPLE CORRECT ANSWER TYPE )|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise (Multiple & Comprehension)|65 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.9|9 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

If H_n=1+1/2++1/ndot , then the value of S_n=1+3/2+5/3++(99)/(50) is H_(50)+50 b. 100-H_(50) c. 49+H_(50) d. H_(50)+100

The value of x where x:2(1)/(3)21:50 is 1(1)/(49) b.1(1)/(50) c.(49)/(50) d.(27)/(50)

The value of ((50),(0)) ((50),(1)) + ((50), (1)) ((50),(2)) +............+ ((50),(49))((50),(50)) is

The value of 99^(50) - 99.98^(50) + (99*98)/(1*2) (97)^(50) -…+ 99 is

The value of ((50),(0))((50),(1))+((50),(1))((50),(2))+….+((50),(49))((50),(50)) is :

Calculate pH solution: 0.1 M H_(2)SO_(4) (50ml) +0.4 M HCl (50 ml)

CENGAGE-PROGRESSION AND SERIES-Exercise (Single)
  1. Consider the sequence 1,2,2,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th term...

    Text Solution

    |

  2. The value of Sigma(i=1)^(n) Sigma(j=1)^(i) underset(k=1)overset(j) =22...

    Text Solution

    |

  3. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

    Text Solution

    |

  4. If tn denotes the nth term of the series 2+3+6+11+18+….. Then t50 is

    Text Solution

    |

  5. The sum of series Sigma(r=0)^(r) (-1)^r(n+2r)^2 (where n is even) is

    Text Solution

    |

  6. If(1^2-t1)+(2^2-t2)+….+(n^2-tn)=(n(n^2-1))/(3) then tn is equal to

    Text Solution

    |

  7. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

    Text Solution

    |

  8. If Hn=1+12++1/ndot , then the value of Sn=1+3/2+5/3++(99)/(50) is H(50...

    Text Solution

    |

  9. The sum to 50 terms of the series 3/1^2+5/(1^2+2^2)+7/(1^+2^2+3^2)+...

    Text Solution

    |

  10. Let S=4/19+44/(19)^2+444/(19)^3+...oo then find the value of S

    Text Solution

    |

  11. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

    Text Solution

    |

  12. If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...

    Text Solution

    |

  13. lim(nrarroo) Sigma(r=1)^(n) (r)/(1xx3xx5xx7xx9xx...xx(2r+1)) is equal ...

    Text Solution

    |

  14. The greatest interger by which 1+Sigma(r=1)^(30) rxxr ! is divisible...

    Text Solution

    |

  15. If Sigma(r=1)^(n) r^4=I(n), " then "Sigma(r=1)^(n) (2r -1)^4 is equal ...

    Text Solution

    |

  16. Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))oo is equal to 3 b. 6...

    Text Solution

    |

  17. If x1,x2 …,x(20) are in H.P and x1,2,x(20) are in G.P then Sigma(r=1)^...

    Text Solution

    |

  18. The value of Sigma(r=1)^(n) (a+r+ar)(-a)^r is equal to

    Text Solution

    |

  19. The sum of series x/(1-x^2)+(x^2)/(1-x^4)+(x^4)/(1-x^8)+ to infinite t...

    Text Solution

    |

  20. The sum of 20 terms of the series whose rth term s given by kT(n)=(-1)...

    Text Solution

    |