June 2025 Paper 1 Q2

2 A sequence is defined by

\[x_{n+1} = -\frac{1}{4}x_n \quad \text{with} \quad x_1 = 32\]

The first four terms of the sequence are

\[32,\quad -8,\quad 2,\quad -0.5\]

Which one of the following can be used to describe this sequence?

Circle your answer. [1 mark]

• Convergent
• Decreasing
• Increasing
• Periodic