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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A sequence of number a_1, a_2, a_3,…..,a_n is generated by the rule a_(n+1) = 2a_(n) . If a_(7) - a_(6) = 96 , then what is the value of a_(7) ?

Let sequence by defined by a_1=3,a_n=3a_(n-1)+1 for all n >1

Write the first five terms of the sequence and obtain the corresponding series : a_1=3,a_n=3a_(n-1)+2 for all n > 1

In the sequence a_n , then nth term is defined as (a_(n - 1) - 1)^2 . If a_(1) = 4 , then what is the value of a_2 ?

Give first 3 terms of the sequence defined by a_n=n/(n^2+1)dot

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

In a sequence, the n^(th) term a_(n) is defined by the rule (a_(n-1) - 3)^(2), a_(1) = 1 what is the value of a_(4) ?

Write the first five terms of the sequence whose n^(t h) terms are : a_n=n/(n+1)

In the sequence a_(n) the nth term is defined as (a_(n-1) - 1)^(2) . If a_(3) = 64 , then what is the value of a_(2) ?

Write the first three terms of the sequence defined by a_(n) = n(n+1)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f(x): D to R be defined as f(x)=(x^2+2x+a)/(x ,^2+4x+3a),w h e r e...

    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 veci-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. If tangent and normal to the curve y=2sinx+sinx2x are drawn at p(x=(pi...

    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 and vec b= hat i-2 hat j+ hat k , then ...

    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 not true? (lim)(nvecoo)1/...

    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. The value of the integral int(pi//3)^(pi//2)x sin(pi[x]-x)dx is (whe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. lim(xto0)(sinx^(4)-x^(4)cosx^(4))/(x^(4)(e^(2x^(4))-1-2x^(4))) is

    Text Solution

    |

  20. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |