Short Answer 
The process to find the next number in the sequence involves identifying the alternating pattern of operations‚ÄöAimultiplying and adding. After determining that the next operation should be multiplication by 6, applying it to the last number 65 results in 390, which is the next number in the series.
Step 1: Identify the Pattern
The first step is to analyze the given sequence of numbers to determine the underlying pattern. The operations alternate between multiplying and adding. Specifically:
- 6 to 12 involves multiplying by 2.
- 12 to 15 involves adding 3.
- 15 to 60 involves multiplying by 4.
- 60 to 65 involves adding 5.
Step 2: Determine the Next Operation
In this step, we recognize that the sequence alternates between multiplication and addition. The last operation was addition, so we should expect the next operation to be multiplication. Based on the pattern, this means we will multiply by 6 next.
Step 3: Calculate the Result
Finally, we apply the determined operation to the last number in the sequence. To find the next number:
- Take 65 and multiply by 6.
- This gives us 65 x 6 = 390.
- Thus, the next number in the series is 390.