Question

If the sequence 2, 5, 8, 11, ... follows a pattern, what is the 10th term?

• A. 26
• B. 27
• C. 29
• D. 31

Hint:

For arithmetic sequences, use the formula \( a_n = a + (n-1)d \) to find the \( n \)-th term, where \( a \) is the first term and \( d \) is the common difference.

Answer 1

The Correct Option is C

To solve the problem, we need to find the 10th term of the arithmetic sequence given by 2, 5, 8, 11, ...

1. Understanding the Concepts:

- Arithmetic Sequence: A sequence where each term increases by a constant difference.
- General Term Formula: \( a_n = a_1 + (n-1)d \), where \( a_1 \) is the first term and \( d \) is the common difference.

2. Given Values:

- First term, \( a_1 = 2 \)
- Common difference, \( d = 5 - 2 = 3 \)
- Term number, \( n = 10 \)

3. Calculate the 10th Term:

\[ a_{10} = 2 + (10 - 1) \times 3 = 2 + 9 \times 3 = 2 + 27 = 29 \]

Final Answer:

The 10th term of the sequence is 29.