A worker is paid $0.07 on the first day, $0.14 on the second day, $0.28 on the third day, and so on. How much is the worker paid in total after working for 26 days?

Between $0 and $1000

Between $1000 and $2 000 000

Between $2 000 000 and $4 000 000

Over $4 000 000

D) Over $4,000,000

Step-by-step explanation:

On the last day, the worker is paid $0.07*2²⁵ (it's by the power of 25 because it's 0 on the first day), which is $2,348,810.24. That means that the amount of money earned on all other days are $2,348,810.37, since 2⁰ + 2¹ + 2² + 2³ ... + 2ⁿ⁻² + 2ⁿ⁻¹ = 2ⁿ + 1.

That totals to approximately $4.6 million dollars, which is larger than $4 million.