Question

What is the average rate of change from n = 1 to n = 2 for the sequence an = 2(2)n − 1

Answer 1

Answer: 2

Step-by-step explanation:

$a_{n}=2(2)^{n-1}\\\\a_{1}=2(2)^{1-1}=2\\\\a_{2}=2(2)^{2-1}=4$

Average rate of change:

$\frac{4-2}{2-1}=\boxed{2}$