Vince wrote the sequence below.
1/3, 1, 5/3, 7/
which of the following explains whether the sequence is geometric?
the sequence is geometric because 2/3 was added to each term to get the next term.
the sequence is geometric because 3 was multiplied to each term to get the next term.
the sequence is not geometric because 2/3 was added to each term to get the next term.
the sequence is not geometric because 3 was multiplied to each term to get the next term.

The correct statement is:

The sequence is not geometric because 2/3 was added to each term to get the next term.

Step-by-step explanation:

Vince wrote the sequence below.

1/3, 1, 5/3, 7/3...

the sequence could also be written as:

1/3,3/3,5/3,7/3,.....

Let represents the nth term of the sequence.

now the first term of the sequence is:

second term is:

which could also be obtained as:

Third term is:

which could also be obtained as:

Fourth term is:

which could also be obtained as:

The correct reason that explains that the given sequence is geometric or not  is:

The sequence is not geometric because 2/3 was added to each term to get the next term.

(Hence such a sequence is not geometric but an arithmetic sequence with common difference of 2/3)