1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Find the rth term of this sequence

  1. Jul 21, 2006 #1
    Given a sequence:
    3,33,333,3333,..........
    Find the rth term of this sequence.

    This sequence does not belong to Geometry Progression or Arithmetic Progression. From what I know, rth term is equals to (r-1)*10 +3.

    But how do I solve this problem?
     
  2. jcsd
  3. Jul 21, 2006 #2
    Hint:
    [tex]\sum\limits_{k = 0}^n {r^k } = \frac{{1 - r^{n + 1} }}{{1 - r}}[/tex]

    The rth term of your sequence is just (10r-1)/3 :smile:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Find the rth term of this sequence
Loading...