MP Board · Class 10 · Mathematics · Arithmetic ProgressionsWhat is the common difference of the AP: -5, -1, 3, 7, ...?
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Total Attempts: 9
Accuracy Rate: 33.3%
Step-by-Step Solution
The common difference ($d$) of an AP is found by subtracting any term from its succeeding term, $d = a_{2} - a_{1}$. Here, $a_1 = -5$ and $a_2 = -1$. Therefore, $d = (-1) - (-5) = -1 + 5 = 4$. Thus, the correct option is B.
Detailed Options Breakdown
Option : -4
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Option 1: 4 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Option 3: -2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
💡 Study Guide: This question tests core syllabus concepts from Arithmetic Progressions. For formulas, key summaries, and mock exam reference guides, read the full Arithmetic Progressions Revision Notes.