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

The sequence 2, 5, 8, 11, ... is an arithmetic progression with first term \( a = 2 \) and common difference \( d = 5 - 2 = 3 \). 
The \( n \)-th term of an arithmetic sequence is: \[ a_n = a + (n-1)d \] For the 10th term (\( n = 10 \)): \[ a_{10} = 2 + (10-1) \cdot 3 = 2 + 9 \cdot 3 = 2 + 27 = 29 \] Thus, the 10th term is: \[ \boxed{29} \]