Question 1197507
Find the sum to infinity of the following: 16, 12, 9, 27/4
<pre>This is a GEOMETRIC progression since it has a common ratio (r) of {{{matrix(1,5, 12/16, "=", 9/12, "=", 3/4)}}}. Furthermore, |r| < 1.
  Sum of an INFINITE GEOMETRIC sequence: {{{matrix(1,3, S[infinity], "=", a[1]/(1 - r))}}}
                                         {{{matrix(1,3, S[infinity], "=", 16/(1 - 3/4))}}} ----- Substituting 16 for a<sub>1</sub>, and {{{3/4}}} for r (common ratio) 
                                         {{{matrix(1,3, S[infinity], "=", 16/(1/4))}}}
                                              {{{matrix(1,2, "=", 16(4/1))}}}

<font size  = 4><font color = red><b>Sum of this INFINITE GEOMETRIC series</font></font>: 16(4) = <font size  = 4><font color = red><b>64</font></font></b></pre>