Question

FIRST QUESTION!!!!

Answer 1

Option B: 1088 is the next term in the geometric sequence.

Explanation:

The sequence is $17,68,272$

We need to determine the next term.

To determine the next term, let us find the common ratio between the terms.

$r=\frac{68}{17} =4$

$r=\frac{272}{68} =4$

Thus, the common ratio is $r=4$

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

                $=272\times4$

                $=1088$

Thus, the next term of the geometric sequence is 1088

Therefore, Option B is the correct answer.