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Explicit Rule for a Sequence - Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress
Last updated at August 14, 2026 by Teachoo
Maths Class 9
Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress
- Definition
-
Explicit Rule for a Sequence
- Recursive Rule for a Sequence
- VirahฤnkaโFibonacci 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
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Transcript
Explicit Rule for a Sequence EXPLICIT RULE (Closed-Form) A formula gives the th term ( an) directly based on its position (n). An Explicit Rule lets you calculate any term (๐ก_๐) in a sequence directly using its position (๐) โ like a formula Example Why is it useful to have an explicit formula for the nth term of a sequence? Because it saves an incredible amount of time. If you need to find the 1000th term of a sequence, an explicit formula lets you calculate it instantly. Without it, you would have to manually calculate all 999 terms before it just to find out what it is.
