Answer:

Step-by-step explanation:
Suppose,
is initial amount in the saving account,
Here, the annual interest rate is 6% and additional amount in each year is $ 50,
So, the amount after one year,

Amount after 2 years,

Amount after 3 years,

................................., so on....
Hence, by following the pattern,
The amount after n years,

Which is the required recurrence relation for the amount of money in a savings account