Home
Class 12
MATHS
Prove that, (1.3)/(1!)+(2.4)/(2!)+(3.5)/...

Prove that, `(1.3)/(1!)+(2.4)/(2!)+(3.5)/(3!)+(4.6)/(4!)+.....=4e`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|28 Videos

  • STRAIGHT LINE

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|55 Videos

Similar Questions

Explore conceptually related problems

Prove that, 1+(1+2)/(2!)+(1+2+3)/(3!)+(1+2+3+4)/(4!)+....=(3e)/2

Prove that 1^3/(1!)+2^3/(2!)+3^3/(3!)+4^3/(4!)+.....=5e

Prove that 1^2/(1!)+2^2/(2!)+3^2/(3!)+4^2/(4!)+.....=2e

Prove that (1-1/3+1/3^(2)-1/3^(3)+1/3^(4)-...oo)=3/4

(1)/(2)+(-(3)/(4))+(5)/(6)=(-(3)/(4))+(1)/(2)+...

Prove that, 1/(1.2)-1/(2.3)+1/(3.4)-.....=2log_e2-1

Prove that, 1/(2.3)-1/(4.5)+1/(6.7)+.....=1-log_e2

1+ (1) / (2) (. 3) / (5) (1.3) / (2.4) ((3) / (5)) ^ (2) + (1.3.5) / (2.4.6) ( (3) / (5)) ^ (3) + ........ oo =

(1) / (1.2) + (1.3) / (1.2.3.4) + (1.3.5) / (1.2.3.4.5.6) + .... oo

MAHAVEER PUBLICATION-SERIES-QUESTION BANK
  1. Find the sum of first n terms and the sum of first 5 terms of the geo...

    Text Solution

    |

  2. Find the sum of the sequence 7, 77, 777, 7777, . . . to n terms.

    Text Solution

    |

  3. How many numbers divisible by 17 are there in between 25 and 450 ?

    Text Solution

    |

  4. For what value of x, the number -2/7,x ,-2/7are in G.P.?

    Text Solution

    |

  5. Insert three geometric mean (GM) between 1 and 1/16.

    Text Solution

    |

  6. Find three numbers in G.P. whose sum is 19 and product is 216.

    Text Solution

    |

  7. If a ,b ,c are respectively the p^(t h),q^(t h)a n dr^(t h) terms of a...

    Text Solution

    |

  8. Find the 12^(th) term of the sequences -6,-18,-54,…..

    Text Solution

    |

  9. Find the sum of 2+4+8+16+….. to 8 terms.

    Text Solution

    |

  10. 1.3+3.5+5.7+..... n terms =

    Text Solution

    |

  11. Find the value of a' if (2a+1),a,(3a+2) are in G.P?

    Text Solution

    |

  12. Statement -1: The sum of the series (1)/(1!)+(2)/(2!)+(3)/(3!)+(4)/(...

    Text Solution

    |

  13. Prove that x/(1!)+(2x^2)/(2!)+(3x^3)/(3!)+(4x^4)/(4!)+.....=xe^x

    Text Solution

    |

  14. Prove that 1^2/(1!)+2^2/(2!)+3^2/(3!)+4^2/(4!)+.....=2e

    Text Solution

    |

  15. Prove that 1^3/(1!)+2^3/(2!)+3^3/(3!)+4^3/(4!)+.....=5e

    Text Solution

    |

  16. Prove that 1/3+1/(3.3^3)+1/(5.3^5)+....=1/2log2

    Text Solution

    |

  17. If 1-(1)/(2)+(1)/(3)-(1)/(4)+..=log(e)2, then sum (1)/(1.3)+(1)/(2.5)+...

    Text Solution

    |

  18. Prove that, (1.3)/(1!)+(2.4)/(2!)+(3.5)/(3!)+(4.6)/(4!)+.....=4e

    Text Solution

    |

  19. Show that, 1/(1-x)=1+x+x^2+x^3+....infty if |x|lt1

    Text Solution

    |

  20. ((1 )/(2!) + (1)/(4!) + (1)/(6!) + ......)/((1)/(1!) + (1)/(3!) + (1)/...

    Text Solution

    |