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Home » Question:** The sum of the first \( n \) natural numbers is 210. Find \( n \). - Groen Casting

Question:** The sum of the first \( n \) natural numbers is 210. Find \( n \). - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Subtract the third equation from the fourth:
Now, we have a new system of three equations:
\( 7a + 3b + c = -4 \)
\( 19a + 5b + c = 3 \)
\( 37a + 7b + c = 3 \)
Subtract the first of these from the second:
Subtract the second from the third:
Substitute \( b = -9a \) into \( 6a + b = \frac{7}{2} \):
6a - 9a = \frac{7}{2} \implies -3a = \frac{7}{2} \implies a = -\frac{7...
Now find \( b \):

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