Home
Class 12
MATHS
The minimum sum of the series : 20 + 1...

The minimum sum of the series `:`
`20 + 19(1)/(3)+ 18(2)/( 3) +"..." ` is `:`

A

310

B

300

C

320

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

The sum to infinity of the series : 1+2 ( 1-(1)/( n )) + 3( 1 - ( 1)/( n ))^(2) +"...." is :

The sum of n terms of the series : (1)/( 1.2.3.4) + ( 1)/( 2.3.4.5) + ( 1) / ( 3.4.5.6.)+"......." is :

The sum to infinity of the series : 1+ ( 2)/( 3) + ( 6)/( 3^(2)) +( 10)/( 3^(3))+ ( 14) /( 3^(4)) + "..........." is :

The sum of the series, (1)/(2.3) .2 + (2)/(3.4).2^(2) + (3)/(4.5).2^(3) + ….to n terms is

Find the sum to n terms of the series (1)/(1xx2) +(1)/(2xx3)+(1)/(3xx4) + . . . . . .

Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is

The sum of the series (2)/(3) + (8)/(9) + (26)/(27) + (80)/(81) + … to n terms is

The sum of first 9 terms of the series : 1^3/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+.... is :

If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) + 2^(3)) +(1+2+3)/(1^(3) + 2^(3) + 3^(3)) + "......." in S_(n) , then S_(n) exceeds 199 for all n greater than :

The sum of n terms of the series 1+(1+3)+(1+3+5)+.. .. .. is

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2)...

    Text Solution

    |

  2. If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) +...

    Text Solution

    |

  3. The minimum sum of the series : 20 + 19(1)/(3)+ 18(2)/( 3) +"..." i...

    Text Solution

    |

  4. If a,b,c,d and p are distinct non -zero real numbers such that : ( a...

    Text Solution

    |

  5. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  6. Let a(1), a(2),"…..",a(10) be in A.P. and h(1) ,h(2),"…….",h(10) be in...

    Text Solution

    |

  7. The sum of : (x+ 2)^(n-1) + ( x+2) ^(n-2) (x+1) + ( x+2)^(n-3) (x+1)...

    Text Solution

    |

  8. If x(1), x(2),"……….",x(n) are n non zero real numbers such that (x(1)^...

    Text Solution

    |

  9. For 0 lt theta lt ( pi )/(2) , if x = sum(n=0)^(oo)cos^(2n) theta, y =...

    Text Solution

    |

  10. If a(1), a(2) ,a(3)"….." is an A.P. such that : a(1) + a(5) + a(10)+...

    Text Solution

    |

  11. If f(x) is a function satisfying f(x+y) = f(x) f(y) for all x,yin N su...

    Text Solution

    |

  12. If sin alpha, sin^(2) alpha, 1,sin^(4) alpha, sin^(5) alpha, ( - pi lt...

    Text Solution

    |

  13. If A,G and H are respectively A.M.,G.M. and H.M. of three positive num...

    Text Solution

    |

  14. x+y+z = 15 if 9, x,y,z,a are in A.P., while (1)/( x) + ( 1)/( y) + ( ...

    Text Solution

    |

  15. If p,q,r are in A.P. and are positive, the roots of the quadratic equa...

    Text Solution

    |

  16. Let a^(n) be the nth term of the G.P. of positive numbers. Let sum(n=1...

    Text Solution

    |

  17. Let f(x) be a function satisfying f(x+y) = f(x) f(y) for all x,y in N ...

    Text Solution

    |

  18. For any odd integer n ge1, n^(3) - ( n - 1)^(3) + "….." + ( -1)^(n-1)1...

    Text Solution

    |

  19. The sum to infinity of the series : 1+2 ( 1-(1)/( n )) + 3( 1 - ( 1)...

    Text Solution

    |

  20. If a,b,c are digits, then the rational number represented by 0.c ab ab...

    Text Solution

    |