Answer:
[tex]f(x)=2(5^{x-1})[/tex]
Step-by-step explanation:
you can see that each term is 5 times the previous term. Since the first term is 2, the sequence is
2, 2(5), 2(5^2), 2(5^3), . . . .
You can see that 5 is raised to the power 1 less than the term number. So,
[tex]f(x)=2(5^{x-1})[/tex]