Home
Class 11
MATHS
Find the 9th term of the G. P. 2, 1, (1)...

Find the 9th term of the G. P. 2, 1, `(1)/(2)`,….

Text Solution

AI Generated Solution

To find the 9th term of the geometric progression (G.P.) given as 2, 1, \( \frac{1}{2} \), ..., we can follow these steps: ### Step 1: Identify the first term (a) and the common ratio (r) The first term \( a \) of the G.P. is the first number in the sequence: \[ a = 2 \] To find the common ratio \( r \), we divide the second term by the first term: \[ r = \frac{\text{second term}}{\text{first term}} = \frac{1}{2} \div 2 = \frac{1}{4} \] ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9G|17 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9H|9 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 9E|15 Videos
  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos
  • SETS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISC Exercise|16 Videos

Similar Questions

Explore conceptually related problems

Find the 10^(th) term of the G.P. : 12,4,1(1)/(3), . . . . . . . . . ..

Find the 5^(th) term of the G.P. (5)/(2),1 . . . . . . . . .

Find the 7th term of the G.P. 4 ,-8 , 16, ... .

Find the 20th and nth term of the G.P. (5)/(2),(5)/(4),(5)/(8),…

Find the 15th term of the G.P. 3/2,3/4,3/8,……

Find: the 10th term of the G.P. -3/4,1/2,-1/3,2/9, ....

Find: the 10th term of the G.P. sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),

Find the 9th and pth terms of the A.P. 2,5,8.

Find the 8th term of the G.P. sqrt(3),(1)/(sqrt(3)),(1)/(3sqrt(3)), ....

Find the 4th term from the end of the G.P. 2/(27),2/9,2/3, ,, , , , ,162.

NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Exercise 9F
  1. The nth term of a progression is 3^(n+1). Show that it is a G.P. Also ...

    Text Solution

    |

  2. Find the 7th term of the G.P. 4 ,-8 , 16, ... .

    Text Solution

    |

  3. Find the 9th term of the G. P. 2, 1, (1)/(2),….

    Text Solution

    |

  4. Find the 8th term of the G.P. sqrt(3),(1)/(sqrt(3)),(1)/(3sqrt(3)),......

    Text Solution

    |

  5. Find the number of terms in the G.P. 1, 2, 4, 8, ... 4096.

    Text Solution

    |

  6. Find the number of terms in the G.P. 1, - 3, 9, ... - 2187.

    Text Solution

    |

  7. Find the 5th term from the end of the G .P. (1)/(512),(1)/(256),(1)/(1...

    Text Solution

    |

  8. Find the 4th term from the end of the G .P. (5)/(2),(15)/(8),(45)/(32)...

    Text Solution

    |

  9. Which term of the progression sqrt(3),3,3sqrt(3)... is 729 ?

    Text Solution

    |

  10. Which term of the G.P., 2, 8, 32, . . . up to n terms in 131072?

    Text Solution

    |

  11. If the nth terms of the progression 5, 10, 20, … and progression 1280,...

    Text Solution

    |

  12. The 3rd, 7th and 11th terms of a G.P. are x, y and z respectively, the...

    Text Solution

    |

  13. The 3rd and 6th terms of a G.P. are 40 and 320, then find the progress...

    Text Solution

    |

  14. Find the G.P. whose 2nd and 5th terms are -(3)/(2)" and "(81)/(16) r...

    Text Solution

    |

  15. in a G.P (p+q)th term = m and (p-q) th term = n , then find its p th t...

    Text Solution

    |

  16. Find the G.P. whose 2nd term is 12 and 6th term is 27 times the 3rd te...

    Text Solution

    |

  17. The first term of a G.P. is -3. If the 4th term of this G.P. is the sq...

    Text Solution

    |

  18. The 4th, 7th and last terms of a G.P. are 10,80 and 2560 respectively....

    Text Solution

    |

  19. Find the 4 terms in G .P. in which 3rd term is 9 more than the first t...

    Text Solution

    |

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

    Text Solution

    |