Sequence and Series - Geometric Progression

Sequence and Series - Geometric Progression

5 marks

Consider the infinite geometric sequence \(3, 3(0.9), 3(0.9)^2, 3(0.9)^3, \dots\) .

  1. Write down the \(10^{th}\) term of the sequence. Do not simplify your answer.[1]
  2. Find the sum of the infinite sequence.[4]

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