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Home » Sum of all terms: $ 4A + 6d $, square: $ 16A^2 + 48Ad + 36d^2 $. - Get link 4share

Sum of all terms: $ 4A + 6d $, square: $ 16A^2 + 48Ad + 36d^2 $. - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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e 1 ext{)}
We want:
\cdot rac{r^5 - 1}{r - 1} > 300
rac{r^5 - 1}{r - 1} > 100
We test integer values of $ r > 1 $ (since $ r = 1 $ gives $ S_5 = 15...
For $ r = 2 $:
rac{32 - 1}{2 - 1} = 31 \quad \Rightarrow \quad 3 \cdot 31 = 93 < 300
For $ r = 3 $:
rac{243 - 1}{3 - 1} = rac{242}{2} = 121 \quad \Rightarrow \quad 3 \cd...
Thus, $ r = 3 $ satisfies the condition, and since $ r = 2 $ does not,...

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