Example 17 - Insert three numbers between 1 and 256 - Examples

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  1. Chapter 9 Class 11 Sequences and Series
  2. Serial order wise
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Example 17 Insert three numbers between 1 and 256 so that the resulting sequence is a G.P. We know that to insert n numbers between a & b Than common ratio r = 1 +1 We need to insert 3 numbers between 1 & 256 Here a = 1 & b = 256 So r = 256 1 1 3+1 = (256) 1 4 = (4) 4 1 4 = 4 Thus, r = 4 and r = -4 Taking r = 4 Inserting numbers Hence the three numbers inserted are 4, 16 & 64 Hence the numbers inserted are 4, 16 & 64 for r = 4 & 4, 16 & 64 for r = 4

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.