The problem asks us to find the 2024th number in the arithmetic sequence 2, 5, 8, 11, 14, ...

1. Problem Description

The problem asks us to find the 2024th number in the arithmetic sequence 2, 5, 8, 11, 14, ...

2. Solution Steps

The given sequence is an arithmetic sequence. We need to find the 2024th term of the sequence.

First, we find the common difference $d$ between consecutive terms:

$d = 5 - 2 = 3$

The first term is $a_1 = 2$.

The formula for the nth term of an arithmetic sequence is:

$a_n = a_1 + (n - 1)d$

We want to find $a_{2024}$, so we substitute $n = 2024$, $a_1 = 2$, and $d = 3$ into the formula:

$a_{2024} = 2 + (2024 - 1) \times 3$

$a_{2024} = 2 + (2023) \times 3$

$a_{2024} = 2 + 6069$

$a_{2024} = 6071$

3. Final Answer

The 2024th number in the sequence is

6

0

7

1. Answer: B. 6071