Home
Class 12
MATHS
If S = (7)/(5) + (9)/(5^(2)) + (13)/(5^(...

If `S = (7)/(5) + (9)/(5^(2)) + (13)/(5^(3)) + (19)/(5^(4)) +` …., then 160 S is equal to ________ .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A)|80 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section B)|50 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

(+7)+(+2)= (1) +9 (2) -9 (3) +5 (4) -5

3/5 xx 4[7- (2/5 xx (13 + 2))] is equal to :

Sum of first 10 terms of the series, S= (7)/(2 ^(2)*5 ^(2)) + (13)/(5 ^(2)*7 ^(2)) + (19)/(8 ^(2) *11^(2))+ …… is :

Sum of n terms of the series (1^(4))/(1.3)+(2^(4))/(3.5)+(3^(4))/(5.7)+…. is equal to

The sum (7)/(2^2xx5^2)+13/(5^2xx8^2)+19/(8^2xx11^2)+…10 terms is S, then the value of 1024(S) is __________.

The sum of the series (5)/(1.2.3)+(7)/(3.4.5)+(9)/(5.6.7)+.... is equal to

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics Section B
  1. Let the points of intersections of the lines x -y +1 = 0, x -2y + 3 = ...

    Text Solution

    |

  2. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

    Text Solution

    |

  3. Let X be a random variable with distribution. If the mean of X is...

    Text Solution

    |

  4. Let [t] d enote the greatest integer lt t. The number of points where ...

    Text Solution

    |

  5. All the arrangements, with or without meaning, of the word FARMER are ...

    Text Solution

    |

  6. If for the complex numbers z satisfying abs(z - 2 -2i) lt 1, the maxim...

    Text Solution

    |

  7. Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk. Let a...

    Text Solution

    |

  8. Let f(x) = x^6 + 2x^4 + x^3 + 2x + 3, x in R. Then the n natural numbe...

    Text Solution

    |

  9. Let f(x) be a polynomial of degree 3 such that f(k) = - 2/k" for " k...

    Text Solution

    |

  10. A man starts walking from the point P( -3, 4), touches the x-axis at R...

    Text Solution

    |

  11. If the line y = mx bisects the area enclosed by the lines x = 0, y = 0...

    Text Solution

    |

  12. The number of 4-digit numbers which are neither multiple of 7 nor mult...

    Text Solution

    |

  13. If S = (7)/(5) + (9)/(5^(2)) + (13)/(5^(3)) + (19)/(5^(4)) + …., then ...

    Text Solution

    |

  14. A tangent line L is drawn at the point (2, -4) on the parabola y^(2) =...

    Text Solution

    |

  15. Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a l...

    Text Solution

    |

  16. Suppose the line (x-2)/(alpha) = (y-2)/(-5) = (z+2)/(2) lies on the pl...

    Text Solution

    |

  17. If int(sin x)/(sin^(3)x + cos^(3)x) dx = alpha log(e)|1 + tan x| + bet...

    Text Solution

    |

  18. The number of elements in the set {A = ((a, b),(0, d)): a, b, d in {...

    Text Solution

    |

  19. Let B the centre of the circle x^(2) + y^(2) - 2x + 4y + 1 = 0. Let th...

    Text Solution

    |

  20. If the coefficient of a^(7)b^(8) in the expansion of (a + 2b + 4ab)^(1...

    Text Solution

    |