P2.4.4 - Geometric sequences and series

Understand and work with For example, given the sum of a series students should be geometric sequences and series, able to use logs to find the value of n. including the formulae for the nth The proof of the sum formula for a finite series should be term and the sum of a finite known. geometric series.; the sum to infinity of a convergent geometric series, The sum to infinity may be expressed as S ∞. including the use of |r| < 1.

Use geometric sequences and series to connect the rule to the data and decision in the question.

This matters because geometric sequences and series determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply geometric sequences and series to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Geometric sequences and series is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.