Home
Class 12
MATHS
Find the 10^(th) term in the series 2,4,...

Find the 10^(th) term in the series 2,4,8,16,…..

Text Solution

Verified by Experts

Here, `a_1=2` and n =- 10 and r = 2.
We know that `n^(th)` term = `a_n = a_1r^(n-1)`
Then, `10^(th)` term, `a_10 = 2xx2^(10-1)=2xx2^9=1024.`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|28 Videos
  • STRAIGHT LINE

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|55 Videos

Similar Questions

Explore conceptually related problems

find the wrong term in the series 1, 2, 4, 8, 16, 32, 64,96

Find the number of term in the series 8,12,16,…..,72.

Find the 150 th term of the series 1,2,2,3,3,3,4,4,4,4,...

Find out the missing term in the series 4,8,16,32,64, "………." ,256.

MAHAVEER PUBLICATION-SERIES-QUESTION BANK
  1. Find the general (n^(th)) term for the following geometric sequences :...

    Text Solution

    |

  2. Find the general (n^(th)) term for the following geometric sequences :...

    Text Solution

    |

  3. Find the 10^(th) term in the series 2,4,8,16,…..

    Text Solution

    |

  4. Find the following sums First 5 terms of -6+18-54+…..

    Text Solution

    |

  5. Find the following sums 5+10+20+40+…..+2560

    Text Solution

    |

  6. Find the following sums -2+4-8+16-…..

    Text Solution

    |

  7. Find the following sums 24+12+6+3+3/2+3/4+…..

    Text Solution

    |

  8. Find the sum of the first 8 terms of the series 2,6,18,54.

    Text Solution

    |

  9. How much is going to taxes? Suppose that we track a tax refund of $ 10...

    Text Solution

    |

  10. Insert two geometric means between 2 and 1024.

    Text Solution

    |

  11. If A.M. and GM. of two positive numbers a and b are 10 and 8, respe...

    Text Solution

    |

  12. The 12^(th) term and 15^(th) term of an AP are 68 and 86 respectively....

    Text Solution

    |

  13. Find the sum: 3+7+11+…..+79.

    Text Solution

    |

  14. Find k if 2k+1,k,3k+2 are in GP.

    Text Solution

    |

  15. Find8^(th) term of the GP 1,4,16,…..

    Text Solution

    |

  16. If x,y,z are in GP, then prove that logx,logy,logz are in AP.

    Text Solution

    |

  17. If 3^(rd) term of an arithmetic progression is and term is 18 and 17^(...

    Text Solution

    |

  18. The sum of the series 3+33+333+....+n terms is

    Text Solution

    |

  19. Find the three terms in GP whose sum is 21 and product 64.

    Text Solution

    |

  20. If a, b, c are in A.P. and x, y, z are in G.P., then prove that : x^...

    Text Solution

    |