You are given 6 options below for accumulating funds in the month of January. Which option would you choose and why? Be sure to defend your choice with mathematical reasoning. Option A: Be given $1,000,000 in January. Option B: Start with a penny and double it every day for the month of January. Option C: Start with a nickel and triple it every two days for the first 30 days of January. Option D: Start with a dollar and quadruple it every 9 days for the month of January. Option E: Start with $5 and quintuple it every 7 days for January. Option F: Start with $10 and double it every day for the first 16 days of January