Home
Class 11
MATHS
The 4^(th) term of a G.P. is square of i...

The `4^(th)` term of a G.P. is square of its second term and the first term is -3.Determine its `7^(th)` term.

Text Solution

Verified by Experts

`4^ th ` term `=beginarray/ll (Second term) ^2 rarr a xx r^3=(a xx r)^2 rarr a xx r^3endarray=a^2 xx r^2` `rarr a=r rarr a=r^prime=-3 therefore 7^th` term `=: a xx r^6=-3 cdot xx(-3)^6=(-3)^7=-2187~T`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos
  • SETS

    V PUBLICATION|Exercise QUESTION BANK|116 Videos

Similar Questions

Explore conceptually related problems

The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the C.R of the G.P

The 7^th term of an AP is 34 and the 15^th term is 74. Find the 40^th term.

The 10^th term of an AP is 73 and the 20^th term is 43. Find the 44^th term.

If 4th term of a GP is 32 whose common ratio is half of the first term, then the 15th term is

The sum of first 9 terms of an arithmetic sequence is 45 and the sum of first 18 terms is 171. Find its 14^(th) term.

The n^(th) term of a sequence is given by a_n=4n+7 List the first 4 terms of the sequence

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

The difference between the 15^(th) term and the 5^(th) term of an A.P is 40. Which number is to be added to its 12^(th) term to get the 20^(th) term? Find the difference between its first term and 21^(st) term?

The 5^(th) term of an arithmetic sequence is 38 and the 9^(th) term is 66. What is its 25^(th) term?

The 5^(th) term of an arithmetic sequence is 38 and the 9^(th) term is 66. What is its 25^(th) term?

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

    Text Solution

    |

  2. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

    Text Solution

    |

  3. The 4^(th) term of a G.P. is square of its second term and the first t...

    Text Solution

    |

  4. Which term of the following sequences (a) 2,2 sqrt2, 4, . . . is 128 ...

    Text Solution

    |

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

    Text Solution

    |

  6. Find the sum to 20 terms of 0.15,0.015,0.0015,..

    Text Solution

    |

  7. Find the sum to n terms of the G.P.sqrt7,sqrt21,3sqrt7…

    Text Solution

    |

  8. Find the sum to n terms of the G.P. 1,-a,a^2,-a^3,...(ane-1)

    Text Solution

    |

  9. Find the sum to n terms of the G.P.x^3,x^5,x^7,…(xne+-1)

    Text Solution

    |

  10. Evaluate underset(K=1)overset11sum(2+3^K)

    Text Solution

    |

  11. The sum of the first three terms of a GP is (39)/(10) and their produc...

    Text Solution

    |

  12. How many terms of GP 3,3^2,3^3,..... are needed to give the sum 120?

    Text Solution

    |

  13. The sum of the first three terms of a G. P is 16 and the sủm of the ne...

    Text Solution

    |

  14. Given.a G. P. with a=729 and 7^ (th) term 64, determine S7 ?

    Text Solution

    |

  15. The sum of the first two terms of a GP Is -4 and the fifth term is 4 t...

    Text Solution

    |

  16. If the 4 ^(th), 10^(th) and 16^ (th) terms of a G . P are x, y and z ...

    Text Solution

    |

  17. Find the sum to n terms of the series: 8, 88, 888,…..

    Text Solution

    |

  18. Find the sum of the products of the corresponding terms of the sequenc...

    Text Solution

    |

  19. Find four numbers forming a geometric progression.in which the third t...

    Text Solution

    |

  20. If the p^th,q^th and r^th terms of a GP are a,b,c respectively, show t...

    Text Solution

    |