MP Board · Class 10 · Mathematics · Arithmetic ProgressionsWhich term of the AP: 3, 8, 13, 18, ... is 78?
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Total Attempts: 8
Accuracy Rate: 12.5%
Step-by-Step Solution
Given the AP: $a = 3$, $d = 8 - 3 = 5$, and $a_n = 78$. Using the formula $a_n = a + (n - 1)d$, we get $78 = 3 + (n - 1)5 \implies 75 = (n - 1)5 \implies n - 1 = 15 \implies n = 16$. Therefore, the 16th term is 78, making option C correct.
Detailed Options Breakdown
Option : 12th
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Option 1: 15th
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Arithmetic Progressions.
Option 2: 16th (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 17th
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.