Question 21 (B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Aug. 25, 2025 by Teachoo

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Question 21 (B) Find the middle term of A.P 6, 13, 20, ……., 230To find the middle term, we need to first find the Number of terms Given AP 6, 13, 20, ……., 230 Here a = 6 d = 13 – 6 = 7 And, an = 230 We need to find n Now, an = a + (n – 1) d Putting values 230 = 6 + (n – 1) × 7 230 = 6 + 7n – 7 230 = 7n – 1 230 + 1 = 7n 231 = 7n 7n = 231 n = 231/7 n = 33 Thus, Number of terms is 33 Now, we need to find Middle term Middle term = ((𝑛+1)/2)^𝑡ℎ term = (33 + 1)/2 = 34/2 = 17th term Finding Middle term (17th term) Putting n = 17, a = 6, d = 7 in an = a + (n – 1) d a17 = 6 + (17 – 1) × 7 a17 = 6 + 16 × 7 a17 = 6 + 112 a17 = 118 Thus, Middle term is 118

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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