16Hit1600
Advanced MathVery hardWorking back through a doubling rule

Advanced Math practice question

A function h satisfies h(x + 1) = 2·h(x) for every value of x, and h(3) = 40. What is the value of h(0)?

Answer: 5

Each step back halves the value: h(2) = 20, h(1) = 10, h(0) = 5.

Common wrong answers

If you answered 10
10 is h(1).
If you answered 34
34 subtracts 2 three times, treating the rule as additive.
If you answered 320
320 doubles three times instead of halving.

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