Home
Class 11
MATHS
Find the sum of n terms of the sequence ...

Find the sum of `n` terms of the sequence `(a_n),w h e r ea_n=5-6n ,n in Ndot`

Text Solution

Verified by Experts

`a_{n}=5-6 n `

`a_{1}=-1 quad a_{2}=-7 quad a_{3}=-13 cdots `

`-1,-7,-13,-19,-25 ldots`

Resultant sequence is an Ap.

common difference =d

`=-7-(-1) `

`=-6 `

`text { Sum of } n text { terms :- } frac{n}{2}[2 a+(n-1) d] `

...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA|Exercise Solved Examples And Exercises|228 Videos

Similar Questions

Explore conceptually related problems

Find the sum of n terms of the sequence (a_(n)), where a_(n)=5-6n,n in N

Find the sum of n terms of the sequence given by a_(n)=(3^(n)+5n), n in N .

Find the sum to n terms of the sequence given by a_(n)=2^(n),n in N

If the sum of n terms of sequence S_(n)=(n)/(n+1)

Find the sum of n terms of the series whose nth term is 12n^2-6n+5 .

Find the sum of n terms of the series whose n t h term is: 2n^2-3n+5

Find the sum to n terms of an A.P.whose nth terms is t_(n)=5+6n,n in N

Find the sum of n terms of an AP where a_(n)=5-6n and n in N

Find the sum of n terms of the series whose n^(th) term is 18 n^(2) - 6n + 5

Find the sum of n terms of an A.P.whose nth terms is given by a_(n)=5-6n

RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. If the sum of n terms of an A.P. is (p n+q n^2) , where p and q are...

    Text Solution

    |

  2. If the sum of n terms of an A.P. is 3n^2+5n and its mth term is 164, f...

    Text Solution

    |

  3. Find the sum of n terms of the sequence (an),w h e r ean=5-6n ,n in N...

    Text Solution

    |

  4. If the m^(t h) term of an A.P. is 1/n a n d\ t h e\ n^(t h)t e r m\ i ...

    Text Solution

    |

  5. How many terms of the series 54,51, 48,.. be taken so that their sum i...

    Text Solution

    |

  6. solve: 1 + 6 + 11 + 16 +.........+ x = 148

    Text Solution

    |

  7. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

    Text Solution

    |

  8. If the sum of first m terms of an A.P. is the same as the sum of its f...

    Text Solution

    |

  9. The ratio of the sum of ma n dn terms of an A.P. is m^2: n^2dot Show t...

    Text Solution

    |

  10. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  11. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

    Text Solution

    |

  12. If the first term of an A.P. is 2 and the sum of first five terms is ...

    Text Solution

    |

  13. The sum of n terms of two arithmetic progressions are in the ratio (3n...

    Text Solution

    |

  14. Let Sk be the sum of first k terms of an A.P. What must this progressi...

    Text Solution

    |

  15. Find the sum of the following arithmetic progression: 50,46,42,… upto ...

    Text Solution

    |

  16. Find the sum of the following series : (i) 1,3,5,7...upto 12 terms.

    Text Solution

    |

  17. Find the sum of the following arithmetic progression: 3,9/2,6,15/2,…...

    Text Solution

    |

  18. Find the sum of the following arithmetic progression: 41,36,31,…….to 1...

    Text Solution

    |

  19. Find the sum of the following arithmetic progression: a+b ,\ a-b ,\...

    Text Solution

    |

  20. Find the sum of the following arithmetic progression: (x-y)/(x+y),(3x-...

    Text Solution

    |