Sequence and Series - Geometric Progression

Sequence and Series - Geometric Progression

6 marks

Consider the infinite geometric sequence \(25, 5, 1, 0.2, \dots\) .[6]

  1. Find the common ratio.
  2. Find
    1. the \(10^{\mathrm{th}}\) term;
    2. an expression for the \(n^{\mathrm{th}}\) term.
  3. Find the sum of the infinite sequence.

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