Chapter Overview
This chapter introduces the concept of sequences and series, focusing on identifying patterns in numbers, formulating general terms, and summing finite and infinite terms. It explores arithmetic and geometric progressions in depth, laying the groundwork for advanced mathematical topics and real-world applications like financial calculations, computer algorithms, and physics.
Important Keywords
- Sequence: An ordered list of numbers following a specific rule.
- Series: The sum of terms of a sequence.
- Arithmetic Progression (AP): A sequence in which the difference between consecutive terms is constant.
- Geometric Progression (GP): A sequence in which each term is obtained by multiplying the previous term by a fixed non-zero number.
- nth Term: The general term of a sequence denoted by an expression involving 'n'.
Detailed Notes
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