choose two of the following choices that can represent the nth term of the sequence: 54, 18, 6, 2,

The nth term of the given sequence is .

Step-by-step explanation:

Here, the first term of the sequence = 54

Second term = 18

Third term = 6

Now,

and,

as

Hence, the terms of the given sequence are in GEOMETRIC PROGRESSION with common ratio = 1/3

Now, the nth term in GP is given as

So here,

Hence, nth term of the given sequence is .

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: