16Hit1600
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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