Home
Class 11
MATHS
If a,b,c,d are in G.P., prove that (a^(n...

If a,b,c,d are in G.P., prove that `(a^(n) + b^(n)), (b^(n) + c^(n)), (c^(n) + d^(n))` are in G.P.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS MCQs|16 Videos

  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS MCQs|16 Videos

  • SAMPLE QUESTIONS PAPER-4 (PUNJAB)

    OMEGA PUBLICATION|Exercise Section- D|7 Videos

  • SETS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|27 Videos

Similar Questions

Explore conceptually related problems

If a,b,c, d are in G.P., show that : a^(2)+b^(2), b^(2)+ c^(2) and c^(2)+d^(2) are also in G.P.

If a, b,c are in G.P., prove that the following are also in G.P. : a^(2),b^(2),c^(2) .

If a, b,c are in G.P., prove that the following are also in G.P. : a^(3),b^(3),c^(3) .

If a,b,c, d are in G.P., show that : a+b,b+ c and c+d are also in G.P.

If a, b,c are in G.P., prove that the following are also in G.P. : a^(2)+b^(2),ab+bc,b^(2)+c^(2) .

Prove that "^nC_r+2 ^(n)C_(r-1)+ ^(n)C_(r-2) = ^(n+2)C_r .

Find n, if ""^(2n)C_(1),""^(2n)C_(2) and ""^(2n)C_(3) are in A.P.

Prove that .^(n-1)C_(3)+.^(n-1)C_(4) gt .^(n)C_(3) if n gt 7 .

If a, b, c are in A.P, b, c, d are in G.P. and 1/c,1/d,1/e are in A.P. prove that a, c, e are in G.P.

prove int(ax+b)^n dx = (ax+b)^(n+1)/((n+1)a) + c, a ne 0, n ne -1

OMEGA PUBLICATION-SEQUENCE AND SERIES -IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE
  1. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all xy in n such ...

    Text Solution

    |

  2. The sum of some terms of GP. is 315 whose first term and the common ra...

    Text Solution

    |

  3. The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...

    Text Solution

    |

  4. A GP. consists of an even number of terms. If the sum of all the terms...

    Text Solution

    |

  5. If (a+bx)/(a-bx) =(b+cx)/(b-cx) =(c + dx)/(c-dx) (x ne 0), then show t...

    Text Solution

    |

  6. If a(1/b +1/c) , b(1/c +1/a), c(1/a + 1/b) are in A.P. Prove that a,b,...

    Text Solution

    |

  7. If a,b,c,d are in G.P., prove that (a^(n) + b^(n)), (b^(n) + c^(n)), (...

    Text Solution

    |

  8. The ratio of the.A.M. and G.M. of two positive numbers a and b is m : ...

    Text Solution

    |

  9. Find the sum to.n terms of the following series 5+ 55 + 555+………..

    Text Solution

    |

  10. Find the sum to n terms 0.6 + 0.66 + 0.666 + ………..

    Text Solution

    |

  11. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  12. Find the sum of first n terms of the series. 3+7 + 13 + 21 + 31 + ……...

    Text Solution

    |

  13. If S(1), S(2), S(3) are the sum of first n natural numbers, their squa...

    Text Solution

    |

  14. Show that : (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. ...

    Text Solution

    |

  15. Let S be the sum, P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  16. A farmer, buys a used tractor for Rs.. 12000. He pays Rs.6000 cash and...

    Text Solution

    |

  17. Shamshad Ali buys a scooter for Rs 22000 He pays Rs. 4000 cash And ag...

    Text Solution

    |

  18. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |

  19. Dipesh writes letters to four of his friends. He asks each of them to ...

    Text Solution

    |

  20. Find the sum of the sequence 7, 77, 777, 7777,.....up to n terms.

    Text Solution

    |