Let's analyze the problem.

Sequence Rule:

• Start at 6.
• Multiply by 3 and then add 2 each time.

Step-by-step Calculation:

1. The first term is given as 6.

2. To find the second term:

   • $6 \times 3 = 18$,
   • $18 + 2 = 20$.
     So, the second term is 20.

3. To find the third term (next term after 20):

   • $20 \times 3 = 60$,
   • $60 + 2 = 62$.

Answer:

The next term in the sequence is 62.

Would you like a detailed explanation of sequences or rules like this?

Here are 5 related questions to deepen your understanding:

1. What happens if we reverse the operation (subtract 2 and divide by 3) to find earlier terms?
2. How would the sequence change if we added a third operation (e.g., divide by 2)?
3. Can you write the nth term of this sequence as a formula?
4. How would the pattern change if we started with a different initial term?
5. Could you identify a similar sequence that grows slower (e.g., multiply by 2 instead)?

Tip: When working with sequences, always test your rule on at least the first two terms to verify its accuracy.