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Home » Let $ w = z^3 $. Then: - Groen Casting

Let $ w = z^3 $. Then: - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 First term = 3, last term = 11, number of terms = 5.

📌 Sum = \(\frac{n}{2}(a + l) = \frac{5}{2}(3 + 11) = \frac{5}{2} \times 14 = 35\).

📌 Find the area of a regular hexagon with side length 6 cm.

📌 A regular hexagon can be divided into 6 equilateral triangles.

📌 Area of one equilateral triangle: \(\frac{\sqrt{3}}{4} s^2 = \frac{\sqrt{3}}{4} \times 36 = 9\sqrt{3}\).

📌 Total area = \(6 \times 9\sqrt{3} = 54\sqrt{3}\) cm².

📌 #### \(54\sqrt{3}\) cm²**Question:

📌 A philosopher of science is contemplating the symmetry of natural laws and wonders: If the sum of two positive integers \(a\) and \(b\) equals 2023, what is the largest possible value of \(\gcd(a, b)\)?

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