Home
Class 12
MATHS
The first and the n^(th) elements of a G...

The first and the `n^(th)` elements of a G.P are respectively `a` and `b` and `P` is the product of `n` elements, then `P^(2)=`

A

a.`a b`

B

b.`(a b)^(n-1)`

C

c.`(a b)^(n )`

D

d.`(a b)^(-n)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

The fourth seventh and tenth terms of a G.P. are p,q,r respectively, then :

Sum of 25^(th) and 5^(th) elements of an A.P is

The first term of a G.P is 3 and 6^(th) element is (3)/(32), then if P is the product of 6 elements, then P^(2)=

The first and last elements of an A.P are a and l respectively. If S is the sum of all terms of the A.P, then the common difference is

The 8^(th) element and 20^(th) element of an A.P are 22 and 46 respectively. The 18^(th) element is

The first and last element of an A.P are 7 and 55 respectively. The sum of 10^(th) element from the beginning and 10^(th) element from the end is

The 4^(th) and 9^(th) terms of a G.P. Are 54 and 13122 respectively .Find the 6^(th) term .

The 5th ,8th , 11th , terms of a G.P. are p,q and s, respectively .Show that q^(2) =ps

The fourth element of a G.P is 8. The product of first seven elements is

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. If a, b, c are in geometric progression then log a^(n), log b^(n), log...

    Text Solution

    |

  2. The first term of a G.P is 3 and 6^(th) element is (3)/(32), then if P...

    Text Solution

    |

  3. The first and the n^(th) elements of a G.P are respectively a and b an...

    Text Solution

    |

  4. a, b, c are in A.P, b, c, d are in G.P and c, d, e are in H.P, then a,...

    Text Solution

    |

  5. For what values of x, the numbers -2/7 , x, -7/2 are in G.P ?

    Text Solution

    |

  6. The value of n for which ( a ^(n+1) +b^(n+1))/( a^(n) + b^(n)) is the...

    Text Solution

    |

  7. If (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) is an G.M between a and b then the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The 12^(th) common terms between the series 3+7+11+.. And 1+6+11+.. .+...

    Text Solution

    |

  12. Find the sum of all two digit numbers which when divided by 4, yields ...

    Text Solution

    |

  13. The number of common elements to the two sequences 17,21,25, ...... 4...

    Text Solution

    |

  14. The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2)...

    Text Solution

    |

  15. The sum of the serieslebrge (1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+.. to ...

    Text Solution

    |

  16. If x,y,z are in A.P. and tan^(-1) x , tan^(-1) y and tan^(-1) z are a...

    Text Solution

    |

  17. If a, b, c respectively the p^(th), q^(th) and r^(th) elements of a G....

    Text Solution

    |

  18. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

  19. Let T(r ) be the rth term of an A.P. whose first term is a and common ...

    Text Solution

    |

  20. Let a, b, c be in A.P and |a|le1,|b|le1,|c|le1. If x=1+a+a^(2)+.... t...

    Text Solution

    |