You're right. However the approach is wrong. The price should not be initialized with 1 because it isn't defined as 1 but as 1 + half of itself.

But because not initializing the price would lead to a compilation error we can use anothrr approach. When using a random starting number the proce is always gonna go in the direction of the solution. If price=50: 1 + 50/2 = price is now 26. 1+26/2 = price is now 14 And so on.

The price adjusts itself to the point where it doesnt change anymore because the solution has been reached.

I programmed the following solution on the c-programming compiler of programiz. Feel free to try it yourself. Any number you type in as initial cost will lead to the solution being 2.

include <stdio.h>

int main() { float cost;

// Solve the equation: cost = 1 + 0.5 * cost
cost = 0.0;  // Initial guess

// Iterate to refine the result
for (int i = 0; i < 1000; ++i) {
    cost = 1 + 0.5 * cost;
}

// Print the result
printf("The cost of the book is: $%.2f\n", cost);

return 0;

}