$5,5,10,30,120,\_$

To solve the sequence: 5, 5, 10, 30, 120, _, we need to identify the pattern.

• The first term is 5.
• The second term is also 5.
• The third term is 10, which equals 5 × 2.
• The fourth term is 30, which equals 10 × 3.
• The fifth term is 120, which equals 30 × 4.

The pattern involves multiplying the previous term by increasing integers (1, 2, 3, 4, ...).

Now, for the sixth term:

120 × 5 = 600.

d) 600