The 10th term in the sequence 2, 5, 8, … is:

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BlackTom AI · Accepted Answer

The sequence 2, 5, 8, … increases by a constant amount each term, which identifies it as an arithmetic sequence.

- Step 1: Find the common difference. Subtract the first term from the second: 5 − 2 = 3. Subtract the second from the third: 8 − 5 = 3. The difference is consistently 3, so d = 3.

- Step 2: Use the nth-term formula for an arithmetic sequence. The general form is a_n = a_1 + (n − 1)d. Here, a_1 = 2 and d = 3.

- Step 3: Substitute n = 10 to find the 10th term. a_10 = 2 + (10 − 1)×3 = 2 + 9×3 = 2 + 27 = 29.

- Step 4: Interpret the result in the context of the question. The question asks for the 10th term of the given sequence, which evaluates to 29. Since the provided data had no listed answer choices to compare, we compute directly and confirm that the 10th term is 29.

Note on the prompt structure: the original data includes an answer key label 'd. 29', but the answer options array is empty. The calculation above stands on its own and shows the numeric result for the 10th term based on the arithmetic progression formula. Any mapping to a letter would depend on the missing options. The key steps remain the identification of a constant difference, the use of the nth-term formula, and the substitution for n = 10.

MUF0141 Fund. Mathematics Unit 1 - Semester 1, 2025 5.6 Arithmetic Sequences Quiz (Formative)

The 10th term in the sequence 2, 5, 8, … is:

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