MP Board · Class 10 · Mathematics · Arithmetic ProgressionsWhat is the 30th term of the AP: 10, 7, 4, ...?
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Total Attempts: 2
Accuracy Rate: 100%
Step-by-Step Solution
Here, $a = 10$, $d = 7 - 10 = -3$, and $n = 30$. Using $a_n = a + (n - 1)d$, we find $a_{30} = 10 + (30 - 1)(-3) = 10 + 29(-3) = 10 - 87 = -77$. Thus, the correct option is C.
Detailed Options Breakdown
Option : 97
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Option 1: 77
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Option 2: -77 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: -87
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.