OCR GCE AS LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y535/01: Additional Pure Mathematics)
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OCR GCE AS LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 (Y535/01: Additional Pure Mathematics). DOWNLOAD OFFICIAL AND VERIFIED OCR AS LEVEL FURTHER MATHEMATICS A PAPER 1 QUESTION PAPER 2023 ON www.leakedexams.com.


 (a) Express 205 in the form 7q r for positive integers q and r, with 0 7 G r 1 . [1]
(b) Given that 7 |^205#8666h, use the result of part (a) to justify that 7 | 8666. [2]
2 For all positive integers n, the terms of the sequence un " , are given by the formula
u n3 3n 7 1 ( ) mod 0 . n
2 =
(a) Show that u u n n 5 = for all positive integers n. [2]
(b) Hence describe the behaviour of the sequence, justifying your answer. [2]