Home
Class 12
MATHS
The first term of a sequence of numbers ...

The first term of a sequence of numbers is `a_1=5` . Succeeding terms are defined by relation `a_n=a_(n-1) + (n + 1) 2^n AA n>=2`, then the value of `a_50` is

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Write first five terms of a sequence where n^(th) term is defined by a_(n)=n^(2)+n .

Write the first five terms of each of the sequences in Questions 1 to 6 whose nth terms are : a_(n)=2^(n)

Write the first five terms of each of the sequences in Questions 1 to 6 whose nth terms are : a_(n)=n(n+2)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=n(n+2)

Give first 3 terms o the sequence defined by a_(n)=(n)/(n^(2)+1)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=(n)/(n+1)

Write the first five terms of each of the sequences in Questions 1 to 6 whose nth terms are : a_(n)=n.(n^(2)+5)/(4)

find first 5 terms of the sequences, defined by a_(1) =-1 , a_(n) = ( a_(n-1))/n " for n ge 2

The n^(th) term, an of a sequence of numbers is given by the formula a_n = a_(n – 1) + 2n for n ge 2 and a_1 = 1 . Find an equation expressing an as a polynomial in n. Also find the sum to n terms of the sequence.

RESONANCE DPP-JEE MAINS-All Questions
  1. A spherical rain drop evaporates at a rate proportional to its surf...

    Text Solution

    |

  2. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  3. The first term of a sequence of numbers is a1=5 . Succeeding terms are...

    Text Solution

    |

  4. The vectors vec a=3 veco-2 vec j+2 vec k and vec b=- vec i-2 vec k a...

    Text Solution

    |

  5. The distance between the middle point of B C and the foot of the perpe...

    Text Solution

    |

  6. Tangent and normal to the curve y=2s in x+s in2x are drawn at p(x=pi/3...

    Text Solution

    |

  7. The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1) 21 b. 25 c. 26...

    Text Solution

    |

  8. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i...

    Text Solution

    |

  9. 3 firemen X, Y and Z shoot at a common target. The probabilities that ...

    Text Solution

    |

  10. If vec a= hat i+ hat j+ hat k& vec b= hat i-2 hat j+ hat i , then the...

    Text Solution

    |

  11. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

    Text Solution

    |

  12. If f(x),g(x) be twice differentiable function on [0,2] satisfying f''(...

    Text Solution

    |

  13. Let A=[1 0 1 1] . Then which of following is/are true? a. ("lim")(n-...

    Text Solution

    |

  14. The set of values of lambda for which the vectors vec a=(lambda(log)2...

    Text Solution

    |

  15. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  16. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...

    Text Solution

    |

  17. Consider I1=int0^(pi/4)e^x^2dx ,I2=int0^(pi/4)e^x dx ,I3=int0^(pi/4)e^...

    Text Solution

    |

  18. (lim)(xvec0)(s in x^4-x^4cos x^4)/(x^4(e^(2x)^4-1-2x^4)) 1/3 b. 1/2 c...

    Text Solution

    |

  19. If An=int0^(pi/2)(sin(2n-1)x)/(s in x)"dx";"B""n"=int0^("pi"/2)(("s i ...

    Text Solution

    |

  20. If A , B ,C are angles of a triangles, then the value of |[e^(2i A),...

    Text Solution

    |