What is the 5th term of the arithmetic sequence 2, 5, 8, ...?

What is the 5th term of the arithmetic sequence 2, 5, 8, ...?

Correct Answer: 14

Step 1: Identify the first term of the sequence. The first term is 2.
Step 2: Identify the common difference. To find the common difference, subtract the first term from the second term: 5 - 2 = 3.
Step 3: Use the formula for the nth term of an arithmetic sequence, which is: nth term = first term + (n - 1) * common difference.
Step 4: Plug in the values to find the 5th term. Here, n = 5, first term = 2, and common difference = 3.
Step 5: Calculate the 5th term: 5th term = 2 + (5 - 1) * 3 = 2 + 4 * 3.
Step 6: Simplify the calculation: 4 * 3 = 12, so 2 + 12 = 14.
Step 7: Therefore, the 5th term of the sequence is 14.

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