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Ex 5.3, 13 Find the sum of first 15 multiples of 8. Multiples of 8 are 8, 16, 24,โ€ฆ Since difference is same, it is an AP We need to find sum of first 15 multiples We use formula Sn = ๐‘›/2 (2๐‘Ž+(๐‘›โˆ’1)๐‘‘) Here, n = 15, a = 8 & d = 16 โ€“ 8 = 8 Putting values in formula Sn = ๐’/๐Ÿ (๐Ÿ๐’‚+(๐’โˆ’๐Ÿ)๐’…) = 15/2(2 ร— 8+(15โˆ’1) ร— 8) = 15/2 (16+14 ร— 8) = 15/2 (16+112) = 15/2 ร— 128 = 960 Therefore, the sum of first 15 multiples of 8 is 960

  1. Chapter 5 Class 10 Arithmetic Progressions
  2. Serial order wise

About the Author

Davneet Singh

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