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Home » What This Alabama Crimson Tide Logo Hides About Tradition and Power! - Nelissen Grade advocaten

What This Alabama Crimson Tide Logo Hides About Tradition and Power! - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \( a + b + c = 1 - 1 - 6 = -6 \)

📌 The sum of an arithmetic series with 10 terms is 150, and the first term is 5. Find the common difference.

📌 Sum formula: \( S_n = \frac{n}{2}(2a + (n-1)d) \)

📌 \( 150 = \frac{10}{2}(2 \times 5 + 9d) \)

📌 \( 150 = 5(10 + 9d) \)

📌 \( 150 = 50 + 45d \)

📌 \( 100 = 45d \)

📌 \( d = \frac{100}{45} = \frac{20}{9} \)

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Substitute \( a \) and \( b \) into \( 7a + 3b + c = -4 \):
7\left(-\frac{7}{6}\right) + 3\left(\frac{21}{2}\right) + c = -4
-\frac{49}{6} + \frac{63}{2} + c = -4
Convert to a common denominator:
-\frac{49}{6} + \frac{189}{6} + c = -4
\frac{140}{6} + c = -4 \implies \frac{70}{3} + c = -4
c = -4 - \frac{70}{3} = -\frac{12}{3} - \frac{70}{3} = -\frac{82}{3}
Finally, substitute \( a \), \( b \), and \( c \) into the first equat...
-\frac{7}{6} + \frac{21}{2} - \frac{82}{3} + d = 3
-\frac{7}{6} + \frac{63}{6} - \frac{164}{6} + d = 3

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