Sergon Has $5,000 to Invest for Six Months

Sergon has $5,000 to invest for six months. The rates offered on three-month and six-month term deposits at his bank are 3.5%, 3.8%, respectively. He is trying to choose between the six-month term deposit and two consecutive three-month term deposits. What would the simple interest rate on three-month term deposits have to be, three months from now, for Sergon to end up in the same financial position with either alternative? Assume that he would place both the principal and interest from the first three-month term deposit in the second three-month term deposit.