Advanced MathHardFirst power to exceed a threshold
Advanced Math practice question
For which positive integer n is 3ⁿ the first power of 3 that is greater than 200?
Answer: 5
3¹ = 3, 3² = 9, 3³ = 27, 3⁴ = 81, 3⁵ = 243. The first to exceed 200 is 3⁵, so n = 5.
Common wrong answers
- If you answered 4
- 3⁴ = 81, which is still below 200.
- If you answered 6
- 3⁶ = 729 exceeds 200, but 3⁵ = 243 gets there first.
- If you answered 243
- 243 is the value of 3⁵, not the exponent n.
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