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MioMath 2024 Paper 2 · Q16

Paper 2Logic & proofSequences & series

Given the sequence un+1=3un−6u_{n+1}=3u_n-6 with un∈Zu_n\in\mathbb Z, which of the following statements is true?

  • 1. If 6∣u66\mid u_6, then 3∣u33\mid u_3.
  • 2. If 10∣u1010\mid u_{10}, then 30∣u3030\mid u_{30}.
AOnly statement 1
BOnly statement 2
CBoth statements
DNeither statement

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