Grades 11-12 Video Solutions 2026-2026_11-12

2026_11-12_28

Video Transcription

Video Summary

The transcript solves an alternating sum involving \(a_n=\lfloor \sqrt{n}\rfloor\). Since values repeat in blocks, the sum reduces to
\(1-2+3-4+\cdots+43-44\), because \(a_{2025}=a_{2026}=45\) cancel. Pairing terms gives 22 pairs of \(-1\), so the total is \(-22\). Therefore, the correct answer is <strong>E, negative 22</strong>.