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Home » A geometric sequence has first term 3 and common ratio 2. What is the 6th term? - DNSFLEX

A geometric sequence has first term 3 and common ratio 2. What is the 6th term? - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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🔥 Popular Posts

Total data points processed: 120 × 9000 = <<120*9000=1,080,000>>1,080,...
Total memory in bytes: 1,080,000 × 5 = <<1080000*5=5,400,000>>5,400,00...
Convert to gigabytes: 5,400,000 ÷ 1,073,741,824 ≈ <<5400000/1073741824...
But more precisely, using 1 GB = 1,000,000,000 bytes (common in storag...
5,400,000 ÷ 1,000,000,000 = <<5400000/1000000000=0.0054>>0.0054 GB.
However, for accurate digital data measurement in modern contexts:
5,400,000 bytes = 5.4 × 10⁶ bytes = 0.0054 GB.
#### 0.0054
A plant biologist studying the effects of CO₂ enrichment on plant grow...
Use exponential growth: Final biomass = Initial × (1 + r)^t

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Question: Let $ a $, $ b $, and $ c $ be positive real numbers such th...
Solution: We are to minimize $ rac{1}{a} + rac{1}{b} + rac{1}{c} $...
By the AM-HM inequality:
rac{a + b + c}{3} \geq rac{3}{rac{1}{a} + rac{1}{b} + rac{1}{c}} \...
Taking reciprocals (since all terms are positive):
rac{1}{a} + rac{1}{b} + rac{1}{c} \geq 9
Equality occurs when $ a = b = c = rac{1}{3} $. Thus, the minimum val...
Question: Let $ h(x) $ be a polynomial such that $ h(x^3 + 1) = x^6 +...
Solution: Observe that the right-hand side is $ (x^3 + 1)^2 + 2 $. How...
h(x^3 + 1) = (x^3 + 1)^2 + 2 \Rightarrow h(u) = u^2 + 2

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