The sequence of numbers you've provided is:

8426, 384, 96, 54, 20, ?

To determine the next number in the sequence, let's analyze the pattern:

• From 8426 to 384: $8426 \div 22 = 384$
• From 384 to 96: $384 \div 4 = 96$
• From 96 to 54: $96 \div 2 = 54$
• From 54 to 20: $54 \div 2.7 \approx 20$

We observe that the divisors seem to decrease in a non-constant manner. However, the closest divisor used from the pattern suggests that the next number might follow a similar divisibility trend.

If we proceed with a similar reduction:

• From 20, if we divide by around 2, we get:

$20 \div 2 = 10$

Thus, the next number in the sequence is likely 10.

Would you like further details on how the sequence was analyzed, or do you have another question?

Here are some related questions to explore:

1. How can we identify patterns in number sequences?
2. What types of number sequences are commonly encountered in mathematics?
3. How do ratios or divisions affect the progression of a sequence?
4. What are some other methods to predict future terms in a sequence?
5. How does one approach sequences that involve both multiplication and division?

Tip: When analyzing number sequences, look for consistent operations such as multiplication, division, addition, or subtraction. This can help identify the underlying pattern.