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Home » La somme des \( n \) premiers termes d'une suite gÃ©omÃ©trique est : - Midis

La somme des \( n \) premiers termes d'une suite gÃ©omÃ©trique est : - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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First, factorize 180:
= 2^2 \times 3^2 \times 5
The odd divisors are those not divisible by 2, so we consider only the...
The odd divisors are all numbers of the form \( 3^a \times 5^b \) wher...
List them:
\( a=0, b=0 \): 1
\( a=1, b=0 \): 3
\( a=2, b=0 \): 9
\( a=0, b=1 \): 5
\( a=1, b=1 \): 15

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Add: $ 234,375,000 + 9,765,625 = 244,140,625 $.
So $ 5^{12} = 244,140,625 $, and
5^{12} - 1 = 244,140,624.
Thus, the greatest common divisor is $ \boxed{244140624} $.
Question: How many lattice points lie on the hyperbola $ x^2 - y^2 = 2...
Solution: We seek integer solutions $ (x, y) $ to $ x^2 - y^2 = 2025 $...
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