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Home » a_n = \sum_k=1^n L\left(\frackn\right) - DNSFLEX

a_n = \sum_k=1^n L\left(\frackn\right) - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 \omega^2 + \omega + 1 = 0 \Rightarrow x^2 + x + 1 = 0 ext{ at } x = \omega

📌 Thus, $ (x^2 + x + 1)^3 = 0 $ at $ x = \omega $, so $ x^2 + x + 1 $ is divisible by $ x^2 - x + 1 $, since both are degree 2 and the first vanishes where the second does.

📌 Therefore, the remainder is 0.

📌 Hence, the final answer is:

📌 $$### Question 1

📌 A climatologist is analyzing rainfall data over a 5-year period. The average annual rainfall was 40 inches, 42 inches, 38 inches, 45 inches, and 41 inches for each year, respectively. Calculate the total rainfall over the 5 years.

📌 Add the annual rainfall amounts:

📌 \( 40 + 42 + 38 + 45 + 41 = 206 \) inches.

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