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MP Board · Class 11 · Mathematics · Sequences and SeriesWhat is the 10th term of the arithmetic progression (A.P.) 2, 7, 12, ...?

Q: What is the 10th term of the arithmetic progression (A.P.) 2, 7, 12, ...?

To find the 10th term of the A.P., we use the formula $an = a + (n - 1)d$. Here, the first term $a = 2$, the common difference $d = 7 - 2 = 5$, and the number of terms $n = 10$. Substituting these values into the formula: $a{10} = 2 + (10 - 1) \times 5 = 2 + 9 \times 5 = 2 + 45 = 47$. Therefore, the correct option is C.

Step-by-Step Solution

To find the 10th term of the A.P., we use the formula $a_n = a + (n - 1)d$. Here, the first term $a = 2$, the common difference $d = 7 - 2 = 5$, and the number of terms $n = 10$. Substituting these values into the formula: $a_{10} = 2 + (10 - 1) \times 5 = 2 + 9 \times 5 = 2 + 45 = 47$. Therefore, the correct option is C.

Detailed Options Breakdown

Option : 42

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.

Option 1: 45

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.

Option 2: 47 (Correct Answer)

Correct choice. Refer to the step-by-step verified solution guidelines above for details.

Option 3: 52

Incorrect choice. This distractor represents a common misunderstanding of the core principles of Sequences and Series.

💡 Study Guide: This question tests core syllabus concepts from Sequences and Series. For formulas, key summaries, and mock exam reference guides, read the full Sequences and Series Revision Notes.

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