Answer:

1458

Explanation:

How do we get from

2

to

6

? One way is to multiply by

3

.

How do we get from

6

to

18

? We can multiply by

3

once again.

What about

18

to

54

? Again, we can multiply by

3

.

We notice that our common ratio is

3

. We can leverage this fact to write the next terms of our sequence:

...

54

,

(

54

⋅

3

)

,

(

54

⋅

3

2

)

,

(

54

⋅

3

3

)

Notice, we are multiplying by three every time. The

7

th term of this sequence is given by the blue expression

54

⋅

3

3

, which is equal to

54

⋅

27

=

1458

Hope this helps!