To solve this problem, we need to analyze the sequence formed by multiplying the digits of the previous term until we reach a single-digit number (since a single-digit number's product of digits is itself, it remains constant thereafter).

Step 1: Assume the initial term (common in such problems)

Let’s take the initial term as 679 (a typical starting number for this problem):

• Term 1: 679
• Term 2: 6×7×9 = 378
• Term 3: 3×7×8 = 168
• Term 4: 1×6×8 = 48
• Term 5: 4×8 = 32
• Term 6: 3×2 = 6
• Term 7 onwards: 6 (since 6×1=6, it stays constant)

Step 2: Determine the 2016th term

After term 6, all subsequent terms are 6. Since 2016 > 6, the 2016th term is 6.

Answer: 6

作者声明:本文包含人工智能生成内容。