Home
Class 11
MATHS
The Fibonacci sequence is defined by 1 =...

The Fibonacci sequence is defined by `1 = a_1= a_2` and `a_n=a_(n-1)+a_(n-2)`, `n>2`. Find `(a_(n+1))/a_n` , for n = 1, 2, 3, 4, 5

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

What is the 20th term of the sequence defined by : a_n = (n- 1) (2-n)(3+n) ?

Write the first six terms of following sequence : a_1= a_2=2, a_n= a_(n-1) -1, (n>2) .

Let the sequence be defined as follows : a_1=3 , a_n =3a_(n-1)+2 , for all n> 1. Find the first four terms of the sequence.

Find the first five terms of the following sequence a_1 = a_2 = 1 , a_n = a_(n-1) + a_(n - 2) , n ge 3

Write the first six terms of the following sequence : a_(1)=a_(2)=1, a_(n)=a_(n-1)+a_(n-2)(n ge 3) .

The value of lim_(ntooo)a_(n) when a_(n+1)=sqrt(2+a_(n)), n=1,2,3, ….. is

If a_(1)=2 and a_(n)=2a_(n-1)+5 for ngt1 , the value of sum_(r=2)^(5)a_(r) is

Let a_(0)=2,a_1=5 and for n ge 2, a_n=5a_(n-1)-6a_(n-2) . Then prove by induction that a_(n)=2^(n)+3^(n) forall n in Z^+ .

Write the first six terms of following sequence : a_1=1//2,a_2=-1, a_(n+2)=a_n a_(n+1) .

Write the first six terms of following sequence : a_(1)=-1,a_(n)=(a_(n-1))/n,(nge2) .

PSEB-SEQUENCES AND SERIES-EXERCISE
  1. Write the first five terms of the sequences given below and obtain the...

    Text Solution

    |

  2. Write the first five terms of the sequences given below and obtain the...

    Text Solution

    |

  3. The Fibonacci sequence is defined by 1 = a1= a2 and an=a(n-1)+a(n-2), ...

    Text Solution

    |

  4. Find the sum of odd integers from 1 to 2001. (A) 100200 (B) 1002001 (C...

    Text Solution

    |

  5. Find the sum of all natural numbers lying between 100 and 1000, which ...

    Text Solution

    |

  6. In an A.P., the first term is 2 and the sum of the first five terms is...

    Text Solution

    |

  7. How many terms of the A.P. -6, -11/2, -5 , ... are needed to give the ...

    Text Solution

    |

  8. In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p, prove that t...

    Text Solution

    |

  9. If the sum of a certain number of terms of the A.P. 25, 22, 19, .. . i...

    Text Solution

    |

  10. Find the sum to n terms of the A.P., whose k^(th) term is 5k+ 1.

    Text Solution

    |

  11. If the sum of n terms of an A.P. is (pn + qn^2), where p and q are con...

    Text Solution

    |

  12. The sums of n terms of two arithmetic progressions are in the ratio 5n...

    Text Solution

    |

  13. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  14. Sum of the first p, q and r terms of an A.P. are a, b and c, respectiv...

    Text Solution

    |

  15. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

    Text Solution

    |

  16. If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 1...

    Text Solution

    |

  17. Insert five numbers between 8 and 26 such that the resulting sequence ...

    Text Solution

    |

  18. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

    Text Solution

    |

  19. Between 1 and 31, m numbers have been inserted in such a way that the ...

    Text Solution

    |

  20. A man starts repaying a loan as first instalment of Rs. 100. If he inc...

    Text Solution

    |