### Question 3

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• A car travels at a constant speed for the first 2 hours, covering 120 miles. It then increases its speed by 20 miles per hour for the next 3 hours, covering an additional 150 miles. What was the car's speed during the first part of the trip?
• Speed for first part = Distance / Time = 120 miles / 2 hours = 60 miles/hour
• #### 60
• A sequence is defined by \(a_n = 2n^2 + 3n + 1\). What is the sum of the first 5 terms of this sequence?
• \(a_1 = 2(1)^2 + 3(1) + 1 = 6\)
• \(a_2 = 2(2)^2 + 3(2) + 1 = 15\)

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