Answer :

You have to closely look at the values and figure out a pattern.

If you look at the right-hand column, you can see a pattern of powers of 3.

3^0 = 1

3^1 = 3

3^2 = 9

3^3 = 27

3^4 = 81

But the "power" doesn't correspond with nth term.

For example, when we have the power of "1", it is "2nd term", a_2.

Also, when we have the power of "3", it is the "4th term", a_4.

Hence,

the pattern suggests us that

the power is "1 less than" the nth term. In other words, the formula can be "a_(n-1) to the power 3" to incorporate this.

Looking at the choices,

A is correct.