Respuesta :

altavistard
missing where?  Is it possible that you meant, "What is the next term of the geom. seq.  3/4, 1/2, 1/3, .....   "? 

First term, a(1), is 3/4.  How do we get 1/2 from 3/4?  Divide:

   1
-----
   2          1       4
------- = ----- * ------ = 4/6, or 2/3.  Check this out:  r=common factor= 2/3.
  3           2       3
 ----
   4

Do we get 1/3 when we multiply 1/2 by 2/3?  YES.

Written formally, a(3) = (3/4)(2/3)^(3-1)  =  (3/4)(2/3)^2  =  (3/4)(4/9) = 1/3

What's the next term (the missing term)?

a(4) = (3/4)(2/3)^(4-1) = 2/9 (answer)

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