Ex 8.2, 2 - Chapter 8 Class 11 Sequences and Series
Last updated at April 16, 2024 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
Transcript
Ex9.3,2 Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2. We know that an = arn 1 where an = nth term of GP n is the number of terms a is the first term r is the common ratio Here, common ratio r = 2 & 8th term is 192 i.e. a8 = 192 Putting an = 192, r = 2 and n = 8 in an 192 = a 2^(8 1) 192 = a 27 192/27 = a a = 192/27 Now we need to find 12th term, we use the formula an = arn 1 Putting n = 12 , a = 192/27 , r = 2 a12 = 192/27 (2)12 1 = 192/27 (2)11 = 192(2)11 7 = 192(2)4 = 192 16 = 3072 Thus, 12th term is 3072
