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📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 A geometric sequence has first term 3 and common ratio 2. Find the sum of the first 6 terms.

📌 A technology consultant is analyzing the average data transfer speeds across three cloud servers. The speeds are 120 Mbps, 150 Mbps, and 180 Mbps. What is the arithmetic mean of these speeds?

📌 To find the arithmetic mean of the speeds, we add them together and divide by the number of speeds. The speeds are 120 Mbps, 150 Mbps, and 180 Mbps.

📌 Next, divide the sum by the number of speeds, which is 3:

📌 An archaeologist discovers a series of ancient artifacts with inscriptions. One artifact has the number 84 inscribed on it. What is the sum of the distinct prime factors of 84?

📌 To find the sum of the distinct prime factors of 84, we first perform its prime factorization.

📌 So, 2 is a prime factor again, but we list it only once since we want distinct factors.

📌 Divide 21 by the next smallest prime, 3:

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