Ex 5.2, 14 - Chapter 5 Class 10 Arithmetic Progressions

Last updated at Dec. 13, 2024 by

How many multiples of 4 lie between 10 and 250? (with Video) - Teachoo

Ex 5.2, 14 - Chapter 5 Class 10 Arithmetic Progressions - Part 2
Ex 5.2, 14 - Chapter 5 Class 10 Arithmetic Progressions - Part 3

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Ex 5.2, 14 How many multiples of 4 lie between 10 and 250? Multiple of 4 are 4, 8, 12, 16, …. For Lowest multiple 10/4 = 22/4 11/4 = 23/4 12/4 = 3 ∴ Lowest multiple = 12 For highest multiples 250/4 = 622/4 249/4 = 621/4 248/4 = 62 ∴ Highest multiple = 248 So the series is 12, 16, 20, … 248 Since difference is same, it is an AP Here, a = 12 , d = 4 Last term = an = 248 We need to find n an = a + (n – 1) d 248 = 12 + (n – 1) 4 248 = 12 + n (4) – 1 × 4 248 = 12 + 4n – 4 248 – 12 + 4 = 4n 236 + 4 = 4n 240 = 4n n = 240/4 n = 60 So, 60 multiples of 4 lie between 10 and 250

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo