We want to find the equation for the nth term and the value of the sixth term of the given geometric sequence. First we will find its explicit formula. Let's start by calculating the common ratio using the four terms given in the graph, 224, 112, 56, and 28.
We will now use the common ratio 12 and the first term 224 to write the formula.
a_n=a_1r^(n-1) ⇔ a_n= 224( 1/2 )^(n-1)
Finally, to calculate the value of a_6 we will substitute 6 for n in our formula.
