To solve the problem, let’s first clarify the process you’re following:
- Start with the number 4.
- Each day, you triple the current value and then subtract 2.
Let’s break it down step by step:
Day 0:
Start with 4.
Day 1:
Triple the value: 4 x 3 = 12
Subtract 2: 12 – 2 = 10
Day 2:
Triple the value: 10 x 3 = 30
Subtract 2: 30 – 2 = 28
Day 3:
Triple the value: 28 x 3 = 84
Subtract 2: 84 – 2 = 82
Day 4:
Triple the value: 82 x 3 = 246
Subtract 2: 246 – 2 = 244
Continuing this pattern:
On each subsequent day, the process results in a much larger number due to the tripling. In fact, since the value grows exponentially with tripling, you will never actually reach zero through this method. Instead, the value will keep increasing every day, resulting in never reaching a negative number or zero.
Conclusion:
There will be no day that you will reach zero by following this method of tripling 4 and subtracting 2 each day. Each day, the value increases at a rate that ensures it remains away from zero.