Question 1155543
<pre>
The general form is a, ak, ak^2, ak^3, ... etc.

Where a=first term (often used with subscripts {{{a[1]}}})
      k=common ratio

Given info:
{{{ k*a[1] = 16 }}}
{{{ k^4*a[1] = 2 }}}

Notice that {{{ (k^4*a[1])/(k*a[1]) = k^3 = 2/16 = 1/8 }}}
so {{{ k = root(3,(1/8)) = 1/2 }}}

Common ratio: {{{ highlight(1/2) }}}

The first term can be found by dividing k*a by k: 16/(1/2) = 32

First term: {{{ highlight(a[1] = 32 ) }}}