Home
Class 12
MATHS
If the r^(th) term of a series is 1 + x ...

If the `r^(th)` term of a series is `1 + x + x^2 + .......+ x^(r-1)` , then the sum of the first n terms is

A

`(n+(n+1)x-x^(n+1))/((1-x)^(2))`

B

`(n-(n+1)x+x^(n+1))/((1-x)^(2))`

C

`((x+1)x-x^(n+1)-n)/((1-x)^(2))`

D

`(n-(n+1)x-x^(n+1))/((1-x)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The n^(th) term of the series a + a r + a r 2 + − − − − is

If r^(th) term of a series is (2r+1)2^(-r) then sum of its infinite terms is

If x,|x+1|,|x-1| are first three terms of an A.P., then the sum of its first 20 terms is

The first term of a sequence is 1, the second is 2 and every term is the sum of the two preceding terms.The n^(th) term is.

If the sum of first n terms which are in GP is a(r+1) , then the number of terms is _____. (Where a is the first term and r is the common ratio)

An arithmetic series consists of 2n terms, and the first term equals the value of the common difference. If a new series is formed taking the 1st, 3rd, 5th,... (2n – 1) th term of the old series, find the ratio of the sum of the new series to that of the sum of the terms of the old series.

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Suppose m arithmeti means are inserted between 1 and 31. If the ratio ...

    Text Solution

    |

  2. In a geometric progression the ratio of the sum of the first 5 terms t...

    Text Solution

    |

  3. If the r^(th) term of a series is 1 + x + x^2 + .......+ x^(r-1) , the...

    Text Solution

    |

  4. Let m be a positive integer, then S=overset(m)underset(k=1)Sigmak((1)/...

    Text Solution

    |

  5. Let f(n)=[(1)/(5)+(3n)/(100)]n, where [x] denotes the greatest integer...

    Text Solution

    |

  6. Find the sum of the series: 1^2-2^2+3^2-4^2+.....-2008^2+2009^2.

    Text Solution

    |

  7. The odd value of n for which 704+1/2(704)+… upto n terms = 1984-1/2(1...

    Text Solution

    |

  8. The positive integer n for which 2xx2^2xx+3xx2^3+4xx2^4++nxx2^n=2^(n+1...

    Text Solution

    |

  9. Sum of the series S=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+........... upt...

    Text Solution

    |

  10. If 1^(2)+2^(2)+3^(2)+…+2009^(2)=(2009)(4019)(335) and (1) (2009) +(2) ...

    Text Solution

    |

  11. If x gt 0, and log(2) + log(2)(sqrt(x)) + log(2) (4sqrt(x)) + log(2) (...

    Text Solution

    |

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

    Text Solution

    |

  13. Let a1, a2, ,a(10) be in A.P. and h1, h2, h(10) be in H.P. If a1=h1=2...

    Text Solution

    |

  14. If a,b,c are in A.P.and a^(2),b^(2),c^(2) are in G.P.such that a lt ...

    Text Solution

    |

  15. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  16. Let T(r) be the rth term of an AP, for r=1,2,… If for some positive in...

    Text Solution

    |

  17. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  18. If the sum of the first 2n terms of the A.P.2,5,8,…, is equal to the s...

    Text Solution

    |

  19. For a positive integer n let a(n)=1+1/2+1/3+1/4+1/((2^n)-1)dot Then a(...

    Text Solution

    |

  20. 17. If x gt 1, y gt 1, z gt1 are in G.P, then 1/(1+ ln x), 1/( 1+ ln ...

    Text Solution

    |