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SEAMO 2027 - Paper F - SET 04 - Self-study Question 22

SEAMO · SEAMO 2027 - Paper F - SET 04 - Self-study

Question 22

Find $\displaystyle\sum_{k=3}^{1000}\lfloor\log_2 k\rfloor$, where $\lfloor t\rfloor$ is the greatest integer not exceeding $t$.

Notation: the source uses square brackets around the logarithm. Here they are interpreted as the greatest-integer function, consistent with the source key, and written with floor brackets.