Sequences and Series · Number and Operations

Arithmetic and Geometric Progressions

Developing formulas for the nth term and the sum of the first n terms of APs and GPs.

Key Questions

  1. 1How can we derive the sum of a geometric progression using the concept of self-similarity?
  2. 2What physical constraints in a real-world problem would dictate the use of a geometric model over an arithmetic one?
  3. 3Why is the common ratio restricted between -1 and 1 for a geometric series to converge?

MOE Syllabus Outcomes

MOE: Sequences and Series - JC1
Level: JC 1
Subject: Mathematics
Unit: Sequences and Series
Period: Number and Operations

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