Ex 8.2, 6 - Chapter 8 Class 11 Sequences and Series
Last updated at August 11, 2026 by Teachoo
Geometric Progression(GP): Formulae based
Ex 8.2, 6
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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)
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Geometric Progression(GP): Formulae based
- Geometric Progression(GP): Statement
- Geometric Progression(GP): Calculation based/Proofs
- 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
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Transcript
Ex 8.2,6 For what values of x, the numbers (ā2)/7, x, (ā7)/2 are in G.P? Since (ā2)/7, x, (ā7)/2 are in GP So common ratio will be same Common ratio (r) = (šššššš š”ššš )/(š¹ššš š” š”ššš) = š„/((ā2)/7) = 7š„/(ā2) Also, Common ratio (r) = (šāššš š”ššš )/(šššššš š”ššš) = ((ā7)/2)/š„ = (ā7)/2š„ From (1) & (2) 7š„/(ā2) = (ā7)/2š„ 7x Ć 2x = (-7) Ć (-2) 14x2 = 14 x2 = 14/14 x2 = 1 x = Ā± ā1 x = Ā±1 So, x = 1 or x = -1 GP is (ā2)/7, x, (ā7)/2 For x = 1, GP is (ā2)/7, 1, (ā7)/2 For x = ā1, GP is (ā2)/7, ā1, (ā7)/2 Hence possible numbers in GP are (ā2)/7, 1, (ā7)/2 or (ā2)/7, ā1, (ā7)/2
