9.

What is the next term in the sequence?

6, 30, 150, 750, . . .

3750

4250

1450

1500

1 answer

Let's analyze the given sequence: 6, 30, 150, 750, ...

To find a pattern, observe the relationship between consecutive terms:

\[
\frac{30}{6} = 5
\]

\[
\frac{150}{30} = 5
\]

\[
\frac{750}{150} = 5
\]

It appears that each term is multiplied by 5 to obtain the next term.

Thus, we can calculate the next term by multiplying the last term, 750, by 5:

\[
750 \times 5 = 3750
\]

So, the next term in the sequence is 3750. Therefore, the answer is:

3750