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Home » The LCM is found by taking the highest power of all prime factors: - SUpost

The LCM is found by taking the highest power of all prime factors: - SUpost

📅 July 7, 2026 👤 scraface

Jul 07, 2026

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+ (n - 1) \cdot 3 < 100
Subtract 2 from both sides:
Divide by 3:
n - 1 < \frac{98}{3} \approx 32.666\ldots
n < 33.666\ldots
The largest integer \( n \) satisfying this is \( n = 33 \). Verify:
a_{33} = 2 + 32 \cdot 3 = 2 + 96 = 98 < 100
a_{34} = 2 + 33 \cdot 3 = 101 > 100
Thus, there are \(\boxed{33}\) terms before the value exceeds 100.
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