Home
Class 12
MATHS
Evaluate : Sigma(K=1)^(7) [((1)/(5))^(2K...

Evaluate : `Sigma_(K=1)^(7) [((1)/(5))^(2K+1).(7)^(K-1)]`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(90)((5^(14) - 7^(7))/(5^(14)))`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Long Answer Type Questions)|35 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 D (Multiple Choice Type Questions)|2 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate sum_(k=1)^11(2+3^k)

If Sigma_(i=1)^(20) ((""^(20)C_(i-1))/(""^(20)C_(i)+""^(20)C_(i-1)))^(3)=(k)/(21) , then k equals

Evaluate the limit: lim_(x->1)(sum _(k=1) ^100 x^k-100)/(x-1)

sum_(k=1)^ook(1-1/n)^(k-1) =?

The value of tan ^(-1) (1) + cos ^(-1) (-(1)/(2) ) + sin ^(-1) (-(1)/(2)) is equal to (3pi)/(k) . Find the value of K.

lim_(nrarroo) sum_(k=1)^(n)(k^(1//a{n^(a-(1)/(a))+k^(a-(1)/(a))}))/(n^(a+1)) is equal to

The value of cot {sum_(n=1)^(23)cot^(-1)""(1+sum_(k-1)^(n)2k)} is

If for n in N ,sum_(k=0)^(2n)(-1)^k(^(2n)C_k)^2=A , then find the value of sum_(k=0)^(2n)(-1)^k(k-2n)(^(2n)C_k)^2dot

Given (1-x^(3))^(n)=sum_(k=0)^(n)a_(k)x^(k)(1-x)^(3n-2k) then the value of 3*a_(k-1)+a_(k) is (a) "^(n)C_(k)*3^(k) (b) "^(n+1)C_(k)*3^(k) (c) "^(n+1)C_(k)*3^(k-1) (d) "^(n)C_(k-1)*3^(k)

Let k be an integer such that the triangle with vertices (k ,-3k),(5, k) and (-k ,2) has area 28s qdot units. Then the orthocentre of this triangle is at the point : (1) (1,-3/4) (2) (2,1/2) (3) (2,-1/2) (4) (1,3/4)

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 C (Short Answer Type Questions)
  1. Shri A. K. Roy borrows Rs. 6000 to repay the amount with interest of R...

    Text Solution

    |

  2. A man borrows Rs. 19682 without interest and agrees to repay the money...

    Text Solution

    |

  3. The A.M. of two numbers is 15 and their G.M. is 12. Find the numbers.

    Text Solution

    |

  4. If a, b, c are in G.P. and x, y be the A.M. between a, b and b, c resp...

    Text Solution

    |

  5. If a, b, c are in G.P. and x, y be the A.M. between a, b and b, c resp...

    Text Solution

    |

  6. If a, b, c be in A.P. and x, y, z be in G.P., prove that, x^(b-c).y^...

    Text Solution

    |

  7. The sum of three numbers in G.P. is 70. If each of the two extremes be...

    Text Solution

    |

  8. Let t(r) be the rth term of an A.P. If t(2), t(8) and t(32) are in G.P...

    Text Solution

    |

  9. If p, q, r be in arithmetic progression, then show that the pth, qth a...

    Text Solution

    |

  10. The nth term of a series is 3^(n) + 2n, find the sum of first n terms ...

    Text Solution

    |

  11. If one arithmetic mean A and two geometric means p, q be inserted betw...

    Text Solution

    |

  12. If A is the A.M. and G is the G.M. of two unequal positive real number...

    Text Solution

    |

  13. Between two positive real numbers a and b, one arithmetic mean A and t...

    Text Solution

    |

  14. If a, b, c are in G.P. and the equation ax^(2) + 2bx + c = 0 and dx^(2...

    Text Solution

    |

  15. If a is A.M. of two positive numbers b and c and two G.M's between b a...

    Text Solution

    |

  16. If G is the G.M. between two positive numbers a and b, show that (1)/(...

    Text Solution

    |

  17. If sum of the square of three different terms in G.P. is S^(2) their s...

    Text Solution

    |

  18. Show that sum of n G.M.s between a and b is ((ab^((1)/(n+1))-ba^((1)/(...

    Text Solution

    |

  19. Evaluate : Sigma(K=1)^(7) [((1)/(5))^(2K+1).(7)^(K-1)]

    Text Solution

    |

  20. The A.M. between m and n and the G.M. between a and b are each equal t...

    Text Solution

    |