Example 17 - Chapter 9 Class 11 Sequences and Series (Term 1)
Last updated at May 29, 2018 by Teachoo
Inserting GP between two numbers
Inserting GP between two numbers
Last updated at May 29, 2018 by Teachoo
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