Home
Class 12
MATHS
There is a certain sequence of positive ...

There is a certain sequence of positive real numbers. Beginning from the third term, each term of the sequence is the sum of all the previous terms. The seventh term is equal to `1000` and the first term is equal to `1`. The second term of this sequence is equal to

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

The seventh term of an arithmetic sequence is 5 and the twelfth term -15. The first term of this sequence is

The third term of ann arithmetic sequence is 15, and the seventh term is 23. what is the first term?

In a geometric progression consisting of positive terms, each term equals the sum of the next terms. Then find the common ratio.

The fifth term of an arithmetic sequence is 26, and the eighth term is 41. what is the first term?

The first term of a G.P. is 2 and each of its term is equal to sum of the succeding terms of the G.P. Find the G.P.

Each term of a sequence is the sum of its preceding two terms from the third term onwards. The second term of the sequence is -1 and the 10th term is 29. The first term is "_________"

If the first term in a geometric sequence is 3, and if the third term is 48, what is the 11th term ?

Write the first five terms of each of the sequences whose nth terms are : a_(n)=2^(n)

The nth term of a sequence is (2n-3), find its fifteenth term.

If in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m then prove that the sum of (m+n) terms is -(m+n)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. First, second and sevents terms of an A.P. (all the terms are distinct...

    Text Solution

    |

  2. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

    Text Solution

    |

  3. There is a certain sequence of positive real numbers. Beginning from t...

    Text Solution

    |

  4. If a(1),a(2),a(3),"........."a(n) are in HP, then the expression a(1)a...

    Text Solution

    |

  5. Comprehension (6 to 8) Given a special sequence, a, b, c, d such that ...

    Text Solution

    |

  6. Jasleen saved Rs 5 in the first week of the year and then increased...

    Text Solution

    |

  7. The coefficient of x^6 in series of e^(2x) is

    Text Solution

    |

  8. Three digit numbers in which the middle one is a perfect square are fo...

    Text Solution

    |

  9. Differentiate the following functions with respect to x f(x)=sqrt(x)+...

    Text Solution

    |

  10. If I1=int(-1)^1(tan^(-1)x+1/x)dx&I2=int(-1)^1(cot^(-1)x+cot^(-1)1/x)dx...

    Text Solution

    |

  11. The number of different seven digit numbers that can be written using ...

    Text Solution

    |

  12. Differentiate the following functions with respect to x:- sec(-1/x)+2...

    Text Solution

    |

  13. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

    Text Solution

    |

  14. Differentiate the following function from first principles: e^(-x)

    Text Solution

    |

  15. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  16. Differentiate the following function with respect to x from first prin...

    Text Solution

    |

  17. Ten IIT and 2DCE students sit in a row. The number of ways in which...

    Text Solution

    |

  18. The function u=e^x sin x ; v=e^x cos x satisfy the equation a.v(d u...

    Text Solution

    |

  19. Number of ways in which 7 people can occupy 6 seats, 3 seats on eac...

    Text Solution

    |

  20. Differentiate the following function with respect to x from first prin...

    Text Solution

    |