Maths Olympiad Prep

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UKMT Grey Kangaroo, 2023

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Theodorika wrote down four consecutive positive integers in order. She used symbols instead of digits. She wrote the first three integers as □⋄⋄\square \diamond \diamond, ♡△△\heartsuit \triangle \triangle, ♡△□\heartsuit \triangle \square. What would she write in place of the next integer in the sequence?

(A) ♡♡⋄\heartsuit \heartsuit \diamond (B) □♡□\square \heartsuit \square (C) ♡△⋄\heartsuit \triangle \diamond (D) ♡⋄□\heartsuit \diamond \square (E) ♡△♡\heartsuit \triangle \heartsuit

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