The question is: In a television quiz show, there are five questions to answer for a monetary reward. Each question is worth twice as much as the previous question. If the last question is worth $64000, what was the first question worth?
Thus far I have worked out that the answer to the question should be $4000 but I don't know how to define the equation that would allow me to arrive at my final result.
On
If each question is worth double the previous one, then each question is worth half the next one. So the 4th question is half the 5th, i.e. 32000, the 3rd is worth half of this, i.e. 16000 etc.
If you really wanted an equation per se, then if $x$ is the initial question then $x=64000\times(1/2)^4= 4000$, but...
...you don't always need equations in mathematics questions!
$2^4\cdot x=64000$ where $x$ is the worth for first question.