Home
Class 11
MATHS
Find the 10^(th) and n^ (th) terms of t...

Find the `10^(th)` and `n^ (th) ` terms of the G.P. `5,25,125, . . .`

Text Solution

Verified by Experts

Here `a=5` and `r=5`. Thus, `a_10=5(5)^10-1=5(5)^9=5^10
` and `a_n=a r^n-1=5(5)^n-1=5^n`.
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

Find the 20^(th) and n^(th) terms of the G.P. 5/2,5/4,5/8,…

Find the 20^( th) and n^ (th) terms of the G. P, 5/2, 5/4, 5/8...

The nth term of the GP 5,25,125, ......

Find the n^ (th) and 9^ (th) terms of the sequence 3,6,12,24, . .

Find the n^(th) term of the A.P 84, 80,76,.....

Find the 10^(th) term of the G.P. -3/4,1/2,-1/3,2/9,….

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

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

Find the n^(th) term of the sequence 3,5,7,………

The 5^(th) and 7^(th) terms of a G.P. are 12 and 48 respectively. Then the 9^(th) term is

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. A man starts repaying a loan as a first instalment of Rs. 100. If he i...

    Text Solution

    |

  2. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  3. Find the 10^(th) and n^ (th) terms of the G.P. 5,25,125, . . .

    Text Solution

    |

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

    Text Solution

    |

  5. In a.G.P., the 3^( rd ) term is 24 and the 6^ (th) term is 192 . Find...

    Text Solution

    |

  6. Using progression, find the sum of first five terms of the series 1+2/...

    Text Solution

    |

  7. How many terms of the GP 3,3/2,3/4,….are needed to give the sum 3069/5...

    Text Solution

    |

  8. The sum of first three terms of a Geometric Progression is 13/12 and t...

    Text Solution

    |

  9. Find the sum to n terms of the sequence 7,77,777,7777,…….

    Text Solution

    |

  10. A person has 2 parents, 4 grandparents, 8 great grandparents, and so o...

    Text Solution

    |

  11. Insert three numbers between 1 and 256 so that the resulting sequence ...

    Text Solution

    |

  12. If AM and GM of two numbers are 10 and 8 respectively, find the number...

    Text Solution

    |

  13. Find the 20^( th) and n^ (th) terms of the G. P, 5/2, 5/4, 5/8...

    Text Solution

    |

  14. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |