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Home » This Genius Doctor Octopus Trick Will Change How You See Sci-Fi Villains Forever - Baxtercollege

This Genius Doctor Octopus Trick Will Change How You See Sci-Fi Villains Forever - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 The sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = \frac{n}{2} (2a + (n-1)d) \). If the first term \( a = 5 \) and the common difference \( d = 3 \), find the sum of the first 15 terms.

📌 Substituting the values, \( S_{15} = \frac{15}{2} (2 \times 5 + (15-1) \times 3) \).

📌 Simplifying, \( S_{15} = \frac{15}{2} (10 + 42) = \frac{15}{2} \times 52 = 15 \times 26 = 390 \).

📌 The equation of a line is given in slope-intercept form as \( y = 2x + 3 \). Find the x-intercept of this line.

📌 To find the x-intercept, set \( y = 0 \):

📌 \( 0 = 2x + 3 \)

📌 Solving for \( x \), \( 2x = -3 \)

📌 \( x = -\frac{3}{2} \).

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