SOLUTION: The first four terms of a pattern are shown below: ABBA AABBBAA AAABBBBAAA AAAABBBBBAAAA Suppose that this pattern continues, with the As and Bs increasing as shown F

Algebra ->  Expressions-with-variables -> SOLUTION: The first four terms of a pattern are shown below: ABBA AABBBAA AAABBBBAAA AAAABBBBBAAAA Suppose that this pattern continues, with the As and Bs increasing as shown F      Log On


   

Question 164009: The first four terms of a pattern are shown below:

ABBA
AABBBAA
AAABBBBAAA
AAAABBBBBAAAA

Suppose that this pattern continues, with the As and Bs increasing as shown
Find an expression for the ratio of Bs to total letters in the nth term.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The first four terms of a pattern are shown below:
ABBA
AABBBAA
AAABBBBAAA
AAAABBBBBAAAA
Suppose that this pattern continues, with the As and Bs increasing as shown
Find an expression for the ratio of Bs to total letters in the nth term.
------------------
The nth term:
starts with "n" A's
has "n+1" B's
ends with "n" A's
----------------------
ratio of B's to A's: (n+1)/(2n)
=====================================
Cheers,
Stan H.