Answer:
Equation: x(n)=2*4^(n-1)
a6=2048
Explanation:
Take note that the common ratio is 4 because 2*4=8, 8*4=32, 32*4=128, and so on...
We will use the equation (n) = ar^(n-1) where n
represents the nth term, r stands for the common ratio, and "a" stands for the first term. We use (n-1) because ar^O is for the 1st term
Given the first term is a=2, the common ratio is F=4, then we have the equation x(n)=2*4^(n-1)
So, 128*4=512 would be the 5th term, and the 6th term would be 512*4=2048
So a6=2048