The given sequence is: 3, 8, 15, 24, 35, 48, ?

To determine the pattern, let's examine the differences between consecutive terms:

1. \( 8 - 3 = 5 \)
2. \( 15 - 8 = 7 \)
3. \( 24 - 15 = 9 \)
4. \( 35 - 24 = 11 \)
5. \( 48 - 35 = 13 \)

The differences between consecutive terms form the sequence: 5, 7, 9, 11, 13.

The pattern shows that the differences increase by 2 each time.

To find the next term in the sequence:

1. The next difference should be \( 13 + 2 = 15 \).
2. Add 15 to the last term: \( 48 + 15 = 63 \).

So, the next term in the sequence is **63**.

Would you like more details or have any questions?

Here are 5 related questions for practice:
1. What is the 10th term of the sequence?
2. Can you find the 7th term of the sequence?
3. How do you derive a general formula for the nth term of this sequence?
4. What would the difference between the 6th and 7th terms be?
5. How does this sequence relate to quadratic sequences?

**Tip:** Always check if the differences between consecutive terms form a simple pattern, as this often reveals the sequence's rule.

Discover how to find the next number in the sequence 3, 8, 15, 24, 35, 48, ? using arithmetic sequences and pattern recognition. Learn the method to determine the missing number based on the sequence's rules.

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