Home
Class 11
MATHS
Evaluate sum(k-1)^11(2+3^k)...

Evaluate `sum_(k-1)^11(2+3^k)`

Text Solution

Verified by Experts

The correct Answer is:
`22+3/2(3^(11)-1)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise EXERCISE 9.4|10 Videos

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise Miscellaneous Exercise On Chapter 9|32 Videos

  • SEQUENCES AND SERIES

    NCERT TAMIL|Exercise EXERCISE 9.2|18 Videos

  • RELATIONS AND FUNCTIONS

    NCERT TAMIL|Exercise Miscellaneous Exercise on Chapter 2|12 Videos

  • SETS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 1|26 Videos

Similar Questions

Explore conceptually related problems

Find the value of sum_(k =1)^(8)(cos"" (2k pi)/(9) + i(sin""2k pi)/(9))

Evaluate lim_(x to 1) sum_(k=1)^(100) x^(k) - 100)/(x-1).

The value of sum_(k=0)^(n)(i^(k)+i^(k+1)) , where i^(2)= -1 , is equal to

The value of is sum_(k=1)^(10)(sin"" (2k pi)/(11)+ icos ""(2k pi)/(11)) is

The sum sum_(k=1)^(20) k (1)/(2^(k)) is equal to

Value of sum_(k=1)^oosum_(r=0)^k1/(3^k)(^k C_r) is 2/3 b. 4/3 c. 2 d. 1

The value of sum_(r=1)^(n+1)(sum_(k=1)^n "^k C_(r-1)) ( where r ,k ,n in N) is equal to a. 2^(n+1)-2 b. 2^(n+1)-1 c. 2^(n+1) d. none of these

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

Prove that sum_(k=1)^n 1/(k(k+1))=1−1/(n+1) .

NCERT TAMIL-SEQUENCES AND SERIES-EXERCISE 9.3
  1. Find the sum to indicated number of terms in each of the geometric pro...

    Text Solution

    |

  2. Find the sum to indicated number of terms in each of the geometric pro...

    Text Solution

    |

  3. Evaluate sum(k-1)^11(2+3^k)

    Text Solution

    |

  4. The sum of first three terms of a G.P. is and their product is 1. Find...

    Text Solution

    |

  5. How many terms of G.P. 3, 3^(2), 3^(3), … are needed to give the sum 1...

    Text Solution

    |

  6. the sum of the first six terms of a GP is 9 times the sum of the first...

    Text Solution

    |

  7. If the first term of a G.P. is 729 and its 7^(th) term is 64, then the...

    Text Solution

    |

  8. Find a G.P. for which sum of the first two terms is – 4 and the fifth ...

    Text Solution

    |

  9. If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively...

    Text Solution

    |

  10. Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

    Text Solution

    |

  11. Find the sum of the products of the corresponding terms of the sequenc...

    Text Solution

    |

  12. Show that the products of the corresponding terms of the sequences a, ...

    Text Solution

    |

  13. Find four numbers forming a geometric progression in which the third t...

    Text Solution

    |

  14. If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and ...

    Text Solution

    |

  15. If the first and the n^("th") term of a G.P. are a and b, respectivel...

    Text Solution

    |

  16. Show that the ratio of the sum of first n terms of a G.P. to the sum o...

    Text Solution

    |

  17. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2) = (a...

    Text Solution

    |

  18. Insert two numbers between 3 and 81 so that the resulting sequence is ...

    Text Solution

    |

  19. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

    Text Solution

    |

  20. The sum of two numbers is 6 times their geometric mean, show that numb...

    Text Solution

    |