Option B: 1088 is the next term in the geometric sequence.
Explanation:
The sequence is [tex]17,68,272[/tex]
We need to determine the next term.
To determine the next term, let us find the common ratio between the terms.
[tex]r=\frac{68}{17} =4[/tex]
[tex]r=\frac{272}{68} =4[/tex]
Thus, the common ratio is [tex]r=4[/tex]
And the given sequence is a geometric sequence.
To determine the next term in a geometric sequence, we always multiply the common ratio to the current term.
Hence, the current term is 272 and the common ratio is 4.
Next term = Current term × Common ratio
[tex]=272\times4[/tex]
[tex]=1088[/tex]
Thus, the next term of the geometric sequence is 1088
Therefore, Option B is the correct answer.
