Question 36 (iii) (Choice B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at August 26, 2025 by Teachoo

[Maths SQP] Which term of the progressions will have the same value? - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard

part 2 - Question 36 (iii) (Choice B) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 36 (iii) - Choice (B) Which term of the progressions will have the same value?We will find nth term for both APs and make them equal First AP by Aryan is –5, –2, 1, 4, …. Here, a = –5, d = 3 Now, nth term = a + (n – 1)d = (–5) + (n – 1) × 3 Second AP by Roshan is 187, 184, 181, …. Here, a = 187, d = –3 Now, nth term = a + (n – 1)d = 187 + (n – 1) × (–3) Since both terms of AP have same value, nth terms of both would be equal (–5) + (n – 1) × 3 = 187 + (n – 1) × (–3) –5 + 3n – 3 = 187 – 3n + 3 3n + 3n = 187 + 3 + 5 + 3 6n = 198 n = 198/6 n = 33 Thus, 33rd term of both AP will have same value

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Davneet Singh

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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