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SASMO 2022 Grade 7 Question 20

SASMO · SASMO 2022 Grade 7

Question 20

The 2022nd term of the sequence below, reduced to lowest terms, is $a/b$ with $\operatorname{HCF}(a,b)=1$. Find $a+b$.

Question illustration

Pattern convention: for each denominator $n=2,3,4,\ldots$, list numerators $1,2,\ldots,\lfloor n/2\rfloor$ in order. Keep every displayed position even when two fractions have the same value.

Answer format: enter one whole number without units. The source answer sheet uses four digits with leading zeros if needed; ordinary numeric entry is used here.