Home
Class 11
MATHS
Find the sum up to n terms of the series...

Find the sum up to n terms of the series : `1+(6)/(7)+(11)/(49)+(16)/(343)+….`

Text Solution

Verified by Experts

The correct Answer is:
`=(7^(n)-5n+4)/(7^(n-1)6)+(5(7^(n-1)-1))/(7^(n-2)36)`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise EXERCISE 5.1|16 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise EXERCISE 5.2|10 Videos

  • BASIC ALGEBRA

    FULL MARKS|Exercise Exercise-2.13|20 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS|33 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series 3+15+35+63+

Find the sum to n terms of the series 5+55+555+ ……

Find the sum to n terms of the series : 5+11+19+29+41..........

Find the sum to n terms of the series 3+33+333+… to n terms.

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

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

The sum up to n terms of the series 1/(sqrt(1) + sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) +… is:

FULL MARKS-BINOMIAL THEOREM, SEQUENCES AND SERIES -Additional Questions Solved
  1. Find the sum up to n terms of the series : 1+(6)/(7)+(11)/(49)+(16)/(3...

    Text Solution

    |

  2. Find the coefficient of the term involving x^(32) and x^(-17) in the e...

    Text Solution

    |

  3. Find a positive value of m for which the coefficient of x^(2) in the e...

    Text Solution

    |

  4. In the binomial expansion of (1+a)^(m+n), prove that the coefficients ...

    Text Solution

    |

  5. The coefficient of (r-1)^(th), r^(th), and (r+1)^(th) terms in the exp...

    Text Solution

    |

  6. Find the value of (a^(2)+sqrt(a^(2)-1))^(4)+(a^(2)-sqrt(a^(2)-1))^(4)

    Text Solution

    |

  7. Show that the coefficient of the middle term in the expansion of (1+x)...

    Text Solution

    |

  8. If three consecutive coefficients in the expansion of (1+x)^(n) are in...

    Text Solution

    |

  9. If the sum of the coefficients in the expansion of (x+y)^(n) is 4096. ...

    Text Solution

    |

  10. Find the coefficient of (1)/(x^(17)) in the expansion of (x^(4)-(1)/(x...

    Text Solution

    |

  11. If p is a real number and if the middle term in the expansion of ((p)/...

    Text Solution

    |

  12. Find the first five terms of the sequence given by {{:(" " a(1...

    Text Solution

    |

  13. Find the 18^(th) and 25^(th) terms of the sequence defined by a(n)=...

    Text Solution

    |

  14. Write the first six terms of the sequences given by (i) a(1)=a(2)...

    Text Solution

    |

  15. An A.P. consists of 21 terms. The sum of the three terms in the middle...

    Text Solution

    |

  16. Prove that the product of the 2^(nd) and 3^(rd) terms of an arithmetic...

    Text Solution

    |

  17. If the p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c respecti...

    Text Solution

    |

  18. If a, b, c are in A.P. and p is the A.M. between a and b and q is the ...

    Text Solution

    |

  19. If x, y, z be respectively the p^(th), q^(th) and r^(th) terms of a G....

    Text Solution

    |

  20. If the ratio of the sums of m terms and n terms of an A.P. be m^(2) : ...

    Text Solution

    |

  21. Determine the number of terms of geometric progression {a(n)} if a(1)=...

    Text Solution

    |