Home
Class 12
MATHS
Let a,b,c be positive integers such that...

Let a,b,c be positive integers such that `(b)/(a)` is an integer. If a,b,c are in geometric progression and the arithmetic mean of a,b,c is`b+2`, the value of `(a^(2)+a-14)/(a+1)` is

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -I Previous Year /JEE Main|19 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

Similar Questions

Explore conceptually related problems

Let a,b.c.d,e,f be positive integers such that (a)/(b) =b+f

Let three positive numbers a, b c are in geometric progression, such that a, b+8 , c are in arithmetic progression and a, b+8, c+64 are in geometric progression. If the arithmetic mean of a, b, c is k, then (3)/(13)k is equal to

If a,b,c be in arithmetic progession, then the value of (a+2b-c) (2b+c-a) (a+2b+c), is

If a, b & 3c are in arithmetic progression and a, b & 4c are in geometric progression, then the possible value of (a)/(b) are

If the integers a,b,c,d are in arithmetic progression and a lt b lt c lt d and d=a^(2)+b^(2)+c^(2) , the value of (a+10b+100c+1000d) is

Let a,b,c,d be positive integers such that log_(a)b=(3)/(2) and log_(c)d=(5)/(4). If (a-c)=9, then find the value of (b-d)

If a, b and c are in arithmetic progression, then b+ c, c + a and a + b are in

Let a, b, c be the positive integers such that |[b+c,c,b],[c,c+a,a],[b,a,a+b]|=4 , then abc =

Three numbers a, b and c are in geometric progression. If 4a, 5b and 4c are in arithmetic progression and a+b+c=70 , then the value of |c-a| is equal to

MOTION-SEQUENCE & SERIES -Exercise -4 Level -II Previous Year /JEE Advanced
  1. Let Vr denote the sum of the first r terms of an arithmetic progressio...

    Text Solution

    |

  2. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  3. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  4. Let A1 , G1, H1denote the arithmetic, geometric and harmonic means re...

    Text Solution

    |

  5. A straight line through the vertex P of a triangle PQR intersects the ...

    Text Solution

    |

  6. Suppose four distinct positive numbers a1,a2,a3,a4 are in G.P. Let b1=...

    Text Solution

    |

  7. In the sum of first n terms of an A.P. is cn^2, then the sum of square...

    Text Solution

    |

  8. Let Sk ,k=1,2, ,100 , denotes thesum of the infinite geometric series ...

    Text Solution

    |

  9. Let a(1),a(2),a(3),"........."a(11) be real numbers satisfying a(1)=15...

    Text Solution

    |

  10. The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^...

    Text Solution

    |

  11. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  12. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

    Text Solution

    |

  13. Let a(n) denote the number of all n-digit numbers formed by the digits...

    Text Solution

    |

  14. Let an denote the number of all n-digit positive integers formed by th...

    Text Solution

    |

  15. Let S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^(2). Then S(n) can take value...

    Text Solution

    |

  16. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

    Text Solution

    |

  17. Let a,b,c be positive integers such that (b)/(a) is an integer. If a,b...

    Text Solution

    |

  18. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |

  19. Let bi gt 1 for i = 1, 2, ...., 101. Suppose loge b1, loge b2, ...., l...

    Text Solution

    |

  20. Let X be the set consisting of the first 2018 terms of the arithmet...

    Text Solution

    |