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Example 8 - Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress
Last updated at June 9, 2026 by Teachoo
Class 9
Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress
- Definition
- Explicit Rule for a Sequence
- Recursive Rule for a Sequence
- Virahānka–Fibonacci sequence
- Exercise Set 8.1
- Arithmetic Progressions
- Visualising an AP
- Sum of the First n Natural Numbers
- Exercise Set 8.2
-
Geometric Progressions
- Fractals as a GP Sequence
- Visualising a GP
- Exercise Set 8.3
- End-of-Chapter Exercises
Transcript
Example 8 Is 1, –1, 1, –1, 1, … a geometric progression? If so, what is the common ratio? Given sequence 1, –1, 1, –1, 1, … If its GP, then common ratio is same So, we need to show (𝟐^𝒏𝒅 𝒕𝒆𝒓𝒎)/(𝟏^𝒔𝒕 𝒕𝒆𝒓𝒎)=" " (𝟑^𝒓𝒅 𝒕𝒆𝒓𝒎)/(𝟐^𝒏𝒅 𝒕𝒆𝒓𝒎) Now, (−𝟏)/𝟏=𝟏/(−𝟏) –1 = –1 Since common ratio is same, it is a GP And, Common ratio = r = –1
