9. Nick invested $1,000 in his bank account today (year 0). He is planning on investing an amount (t) in year 1, and to continue with his investments in the following manner: invest (t+150) in year 2, (t+300) in year 3, (t+450) in year 4 and to continue with this investment pattern for the following 25 years. Nick's father

suggested that he should do an equivalent uniform investment instead of using this gradient pattern.

Determine the equivalent uniform amount that Nick should invest. Consider a yearly interest rate of 5%.