June 2024 Paper 3 Q1

1 Each of the series below shows the first four terms of a geometric series.

Identify the only one of these geometric series that is convergent. [1 mark]

Tick (✓) one box.

• \(0.1 + 0.2 + 0.4 + 0.8 + \ldots\)
• \(1 - 1 + 1 - 1 + \ldots\)
• \(128 - 64 + 32 - 16 + \ldots\)
• \(1 + 2 + 4 + 8 + \ldots\)