Question

The first four terms of a sequence are shown.

Answer 1

Answer:

$f(x)=2(5^{x-1})$

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,

$f(x)=2(5^{x-1})$