1 Let's create a function for this geometric sequence. The general form of the function will be: f(x) = C*R^x where C is some constant R = ratio of sequential terms x = term number.
We've been given 1/2 as the ratio. So we have: f(x) = C*0.5^x
We've also been told that the first term is 4096. So we have f(x) = C*0.5^x 4096 = C*0.5^1
Now let's solve for C 4096 = C*0.5^1 4096 = C*0.5 8192 = C
So our function is f(x) = 8192*0.5^x
Let's solve for x = 13 f(x) = 8192*0.5^x f(13) = 8192*0.5^13 f(13) = 8192*0.0001220703125 f(13) = 1
