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

Example 17  - Chapter 9 Class 11 Sequences and Series - Part 2


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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.