4
advanced-mathA wildfire burns 2 acres on hour 1, 8 acres on hour 2, 32 acres on hour 3. How many acres total burned after 5 hours?
A
682 acres
B
512 acres
C
242 acres
D
1,024 acres
Correct Answer: A
Choice A is the correct answer. Find the pattern and sum.
- Pattern: means multiply by 4 each hour: .
- Calculate Each Hour:
- Hour 1: 2
- Hour 2: 8
- Hour 3: 32
- Hour 4: 128
- Hour 5: 512
- Total: acres.
💡 Strategic Tip: Sum a geometric series: or calculate each term.
Choice B is incorrect because this is just hour 5, not the total. Choice C is incorrect because this is the sum of only hours 1-4. Choice D is incorrect because this would be hour 6.