Financial Mathematics question, please use formulas and handwritten work rather than excel (picture provided). Will rate kindly.

An investor accumulates a fund by making payments at the beginning of each month for 6 years. Her monthly payment is 50 for the first 2 years, 100 for the next 2 years, and 150 for the last 2 years. At the end of the 7th year the fund is worth 10,000. The annual effective interest rate is i, and the monthly effective interest rate is j. Which of the following formulas represents the equation of value for this fund accumulation? (A) (1+i)[(1+i)* +2(1+i) +3] =200 (B) (1+j)[(1+j)* +2(1+j) +3] =200 (C) 5, (1+1)[(1+1)* +2(1+1) +3]=200 (D) S (1+1)[(1+i)* +2(1+i) +3]-200 (E) 5 (1 + i)[(1+j)* +2(1+j)+3] -200