Home
Class 12
MATHS
If S denotes the sum of first 24 terms o...

If S denotes the sum of first 24 terms of series:
`1^(2)/1.3 + 2^(2)/3.5 + 3^(2)/5.7 +`........ Then S =

A

`300/49`

B

`300/51`

C

`295/49`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 48

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos
  • NTA TPC JEE MAIN TEST 50

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

Sum to 20 terms of the series 1.3^(2)+2.5^(2)+3.7^(2)+... is

The sum of the first n terms of the series 1^(2)+2.2^(2)+3^(2)+2.4^(2)+5^(2)+2.6^(2)+... is

Find the sum of first n terms of the series 3/(1^(2).2^(2))+5/(2^(2).3^(2))+7/(3^(2).4^(2))+.......+ and deduce the sum of infinity .

Find the sum to n terms of the series: (1)/(1.3)+(1)/(3.5)+(1)/(5.7)+...

If S_(n) denotes the sum of first n terms of the series (9*5^(-2))/(1*2)+(13*5^(-3))/(2*3)+(17*5^(-4))/(3*4)+(21*5^(-5))/(4*5)+.... and T_(r) denotes the r^(th) term of this series,then

The sum of the first 10 terms of the series (5)/(1.2.3)+(7)/(2.3.9)+(9)/(3.4.27)+….. is

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

Let A be the sum of the first 20 terms and B be the sum of the first 40 terms of the series 1^(2)+2.2^(2)+3^(2)+2.4^(2)+5^(2)+2.6^(2)+... If B-2A=100 lambda then lambda is equal to (1)232(2)248 (3) 464 (4) 496

Find the sum of the series 1.3^(2)+2.5^(2)+3.7^(2)+......

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 49-MATHEMATICS
  1. The number of polynomials of the form x^(3) + ax^(2) + bx + c which a...

    Text Solution

    |

  2. If alpha(1), alpha(2), alpha(3),.........., alpha(n) an are n real roo...

    Text Solution

    |

  3. If S denotes the sum of first 24 terms of series: 1^(2)/1.3 + 2^(2)/...

    Text Solution

    |

  4. In a certain town 25% families own a phone and 15% own a car, 65% fami...

    Text Solution

    |

  5. A variable circle passes through the fixed point A(p, q) and touches x...

    Text Solution

    |

  6. A hyperbola having foci A(4, - 1) and B(4, 5) has x + y- 7 = 0 as one ...

    Text Solution

    |

  7. The locus of the middle points of the normal chords of the parabola, y...

    Text Solution

    |

  8. The angle between the tangents to the curve y = x^2 - bx + 6 at points...

    Text Solution

    |

  9. The equation of the plane through the line of intersection of planes: ...

    Text Solution

    |

  10. If D, E and F are the mid points of the sides BC, CA, AB respectively ...

    Text Solution

    |

  11. If y =A sin omega t then (d^(5)y)/(dt^(5)) =

    Text Solution

    |

  12. If the number of points of discontinuity and number of points of non d...

    Text Solution

    |

  13. General solution of differential equation: (e^(y)+1) cos x dx + e^(y...

    Text Solution

    |

  14. int (dx)/((x+1)^(6/5) (x-3)^(4/5)) is equal to:

    Text Solution

    |

  15. If f(x) = sin^(4)x + cos^(4)x - 1/2 sin 2x, then the range of f(x) is:

    Text Solution

    |

  16. If a pair of variable straight lines x^2 + Ay^2 + axy = 0 (where a is ...

    Text Solution

    |

  17. The value of theta so that sin^(-1) (2/sqrt(5)), cos^(-1) (1/sqrt(10))...

    Text Solution

    |

  18. If the system of equations are: 2x-y + 2z = 2, x-2y-z = -4 & x + y +...

    Text Solution

    |

  19. Let QP and NM be vertical walls. NM = 16 m. and QN = 27/4 m. Then the ...

    Text Solution

    |

  20. Consider the triangle PQR, let a, b and c be the lengths of the sides ...

    Text Solution

    |