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HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05 Question 2

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Final (Heat) Set 05

Question 2

According to the pattern, find the next number: $1024,0,512,256,384,320,352,\ldots$.

Editorial working convention: Continue by multiplying each successive difference by −1/2, equivalently taking the mean of the previous two terms.