Home
Class 11
MATHS
sum(r=1)^n(2r+1)=...... ....

`sum_(r=1)^n(2r+1)=......` .

Text Solution

Verified by Experts

The correct Answer is:
`n(n+2)`
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Probability (True/False Statement)|10 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

If t_(1)=1,t_(r )-t_( r-1)=2^(r-1),r ge 2 , find sum_(r=1)^(n)t_(r ) .

Sum of the series sum_(r=1)^(n) (r^(2)+1)r! is

If sum_(r=1)^(n)T_(r)=(n)/(8)(n+1)(n+2)(n+3)," find "sum_(r=1)^(n)(1)/(T_(r)) .

Let |Z_(r) - r| le r, Aar = 1,2,3….,n . Then |sum_(r=1)^(n)z_(r)| is less than

Let a_(n) be the nth term of an AP, if sum_(r=1)^(100)a_(2r)=alpha " and "sum_(r=1)^(100)a_(2r-1)=beta , then the common difference of the AP is

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2)(n+3))/(12) where T_(r) denotes the rth term of the series. Find lim_(nto oo) sum_(r=1)^(n)(1)/(T_(r)) .

Statement -1 If Delta(r)=|{:(r,r+1),(r+3,r+4):}| then sum_(r=1)^(n) Delta(r)=-3n Satement-2 If Delta(r)=|{:(f_(1)(r),f_(2)(r)),(f_(3)(r),f_(4)(r)):}| Sigma_(r=1)^(n) Delta (r)={:abs((Sigma_(r=1)^(n)f_1(r),Sigma_(r=1)^(n)f_2(r)),(Sigma_(r=1)^(n)f_3(r),Sigma_(r=1)^(n) f_4(r))):}

Let a_n be the n^(t h) term of an A.P. If sum_(r=1)^(100)a_(2r)=alpha & sum_(r=1)^(100)a_(2r-1)=beta, then the common difference of the A.P. is -

(i) Write sum_(r=1)^(n)(r^(2)+2) in expanded form. (ii) Write the series (1)/(3)+(2)/(4)+(3)/(5)+(4)/(6)+"…"+(n)/(n+2) in sigma form.

sum_(r=0)^(n).^(n)C_(r)4^(r)=..........

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Sequence and Series (Fill in the blanks )
  1. 10 arithmetic mean between a and b are A(1),A(2),A(3).........A(10) th...

    Text Solution

    |

  2. If sumn = 55 then sumn^2 . = ...............

    Text Solution

    |

  3. sum(r=1)^n(2r+1)=...... .

    Text Solution

    |

  4. Sum of the series 1-(1)/(2)+1/(2^2)-1/(2^3)+............oo=.........

    Text Solution

    |

  5. .......... is the 20^(th) term of sequence a(n)=(n-1)(2-n) (n-3).

    Text Solution

    |

  6. 3,(9)/(2),6,(15)/2 ............ Sequence has 10^(th) term a(10) = .......

    Text Solution

    |

  7. 9^(th) term of arithmetic sequence is 30 then sum of its 17 terms .......

    Text Solution

    |

  8. Third term of arithmetic sequence is 9 and tenth term is 21. Then sum ...

    Text Solution

    |

  9. For arithmetic sequence a = 2 and a5 = 14 then d = ........

    Text Solution

    |

  10. For arithmetic sequence a(8) =23 common difference d = 5 then a = .......

    Text Solution

    |

  11. For arithmetic sequence

    Text Solution

    |

  12. For an A.P a = 20 and l = 97 then S(20)= ..........

    Text Solution

    |

  13. If a, b, and c are in A.P then (a + 2b -c) . ( 2b +c-a) . (c+a-b) = .....

    Text Solution

    |

  14. For arithmetic sequence a(1),a(2),a3 ........ If a(1)+a(5)+a(10)+a(15)...

    Text Solution

    |

  15. If 25, x - 6 and x - 12 are in G.P then x = .......... or ......... .

    Text Solution

    |

  16. Third term of G.P. is 3 then product of its first 5 terms is ............

    Text Solution

    |

  17. Eighth term of G.P is 128 and common ratio is r = 2 then product of fi...

    Text Solution

    |

  18. For an G.P. a = 16 and fifth term is 81 then common ratio ........

    Text Solution

    |

  19. How many terms of G.P. 3, 3^2, 3^3, … are needed to give the sum 120?

    Text Solution

    |

  20. For an geometric seq. (5)/2,(5)/(4),(5)/8.......a(n) = ............. .

    Text Solution

    |