MP Board · Class 10 · Mathematics · Arithmetic ProgressionsFind the 10th term of the Arithmetic Progression: 2, 7, 12, ...
Step-by-Step Solution
Given Arithmetic Progression: 2, 7, 12, ... \nStep 1: Identify the first term ($a$) and the common difference ($d$).\nThe first term $a = 2$.\nThe common difference $d = a_2 - a_1 = 7 - 2 = 5$. \nStep 2: Recall the formula for the $n$-th term of an AP. $a_n = a + (n - 1)d$ \nStep 3: Substitute the given values into the formula to find the 10th term ($n = 10$). $a_{10} = 2 + (10 - 1) \times 5$ $a_{10} = 2 + (9) \times 5$ $a_{10} = 2 + 45$ $a_{10} = 47$ \nConclusion: The 10th term of the given Arithmetic Progression is 47.
💡 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.