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Example 12 - Chapter 8 Class 11 Sequences and Series
Last updated at April 16, 2024 by Teachoo
Inserting GP between two numbers
Chapter 8 Class 11 Sequences and Series
Concept wise
- Finding Sequences
- Arithmetic Progression (AP): Formulae based
- Arithmetic Progression (AP): Statement
- Arithmetic Progression (AP): Calculation based/Proofs
- Inserting AP between two numbers
- Arithmetic Mean (AM)
- Geometric Progression(GP): Formulae based
- Geometric Progression(GP): Statement
- Geometric Progression(GP): Calculation based/Proofs
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Inserting GP between two numbers
- Geometric Mean (GM)
- AM and GM (Arithmetic Mean And Geometric mean)
- AP and GP mix questions
- Finding sum from series
- Finding sum from nth number
Transcript
Example 12 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
