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Home » You Won’t Believe Who Are the Hidden Guardians of the Globe! - Dyverse

You Won’t Believe Who Are the Hidden Guardians of the Globe! - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Here, \( a = 2 \), \( b = -3 \), and \( c = -5 \).

📌 Calculate the discriminant: \( b^2 - 4ac = (-3)^2 - 4(2)(-5) = 9 + 40 = 49 \).

📌 So, \( x = \frac{3 \pm \sqrt{49}}{4} = \frac{3 \pm 7}{4} \).

📌 The solutions are \( x = \frac{10}{4} = 2.5 \) and \( x = \frac{-4}{4} = -1 \).

📌 #### 2.5, -1

📌 A geometric sequence has a first term of 3 and a common ratio of 2. What is the sum of the first 6 terms?

📌 The sum \( S_n \) of the first \( n \) terms of a geometric sequence is \( S_n = a \frac{r^n - 1}{r - 1} \).

📌 Here, \( a = 3 \), \( r = 2 \), and \( n = 6 \).

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