Infinite Geometric Sequence Sum

00:00 3 marks

  • Exam Style - Paper 1
  • SL
  • Tier 2
  • Geometric sequences
  • Infinite series
  • Convergence

Consider a geometric sequence with a first term \(a = 10\) and a common ratio \(r = 0.8\). Calculate the sum to infinity of this sequence.

Hint Hint

Hint

Recall that the sum to infinity of a convergent geometric sequence is given by \(S_\infty = \frac{a}{1 – r}\).

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Complete Answer

\(50\)

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