Home
Class 12
MATHS
If alpha in R, n in N " and " n + 2 (n...

If ` alpha in R, n in N " and " n + 2 (n - 1)+ 3 (n-2) + …… +(n-1)2 + n.1 = alpha n ( n + 1) (n + 2) , " then " alpha = `

A

`1/2`

B

`1/3`

C

`1/5`

D

`1/6`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2019 (3 MAY SHIFT 2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • TS EAMCET 2019 (6 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

1 ^(2) + 2^(2) + 3^(2) + . . . + n^(2) = (n (n + 1) (2 n + 1))/( 6)

( sin(n+1) alpha - sin (n-1)alpha )/( cos (n+1) alpha + 2 cos n alpha + cos (n-1) alpha )=

cos(n+1) alpha * cos(n-1)alpha + sin (n+1)alpha * sin (n-1) alpha =

If sin theta = n sin (theta + 2 alpha ) , " then " (1- n) tan ( theta + alpha ) =

If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ) , then tan(alpha-beta)=

If alpha and beta are the greatest divisors of n(n^(2)-1) and 2n(n^(2)+2) respectively for all n in N , then alpha beta=

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2019 (4 MAY SHIFT 2)-MATHEMATICS
  1. Find the domain of the real function f(x)=(1)/(sqrt([x]^(2)-[x]-2).

    Text Solution

    |

  2. Let f : R to R and g: R to R be the functions defined by f(x) = (x...

    Text Solution

    |

  3. If alpha in R, n in N " and " n + 2 (n - 1)+ 3 (n-2) + …… +(n-1)2 + ...

    Text Solution

    |

  4. If the function f : [a, b] to [ - (sqrt3)/(4) ,1/2] defined by f(x)...

    Text Solution

    |

  5. The rank of the matrix [{:(3, 5, - 1, 4 ), (2, 1, 3, -2), (8, 11 , 1...

    Text Solution

    |

  6. A value of e for which the following system of equations has a non-tri...

    Text Solution

    |

  7. If z = sqrt(2) sqrt(1 + sqrt(3i)) represents a point P in the argand ...

    Text Solution

    |

  8. If z = x + iy represents a point P in the argand plane, then the area ...

    Text Solution

    |

  9. If P is a complex number whose modulus is one, then the equation ( (1...

    Text Solution

    |

  10. sum(r =1)^(16) ( sin [(2r pi)/(17)] + icos [(2rpi)/(17)] ) =

    Text Solution

    |

  11. If the maximum value of 2x - 7-ax^2 cannot exceed 20, then the minimu...

    Text Solution

    |

  12. A student while solving a quadratic equation in x, he copied its const...

    Text Solution

    |

  13. The product of the real roots of the equation (x + 1)^4 + (x + 3)^4 = ...

    Text Solution

    |

  14. The sum of all the real numbers satisfying the equation x^2 + | x - 3 ...

    Text Solution

    |

  15. Consider the following statement : (i) Numberof one-one functions fr...

    Text Solution

    |

  16. The number of ways is which 3 identical balls can be distributed into ...

    Text Solution

    |

  17. Let (1+ x + x^2)^n = a0 + a1x + a2x^2 + …….+a(2n)x^(2n) Then match ...

    Text Solution

    |

  18. For x = 5/7 , If tk is the first negative term in the expansion of (1...

    Text Solution

    |

  19. The cofficient of x^6 in the tower series expansion of (x^4 - 12x^2 + ...

    Text Solution

    |

  20. Show that (1+ cos. (pi)/(8))(1+cos. (3pi)/(8))(1+ cos. (5pi)/(8))(1+ c...

    Text Solution

    |