Question

Jessica had $200 in her savings account on the first Sunday of November. Beginning that week, she saved $40 each week. Write a recursive rule that describes how much money Jessica had in her savings account at the end of n weeks.

Answer 1

The recursive rule for Jessica's savings account is S(n) = S(n-1) + 40, where S(n) represents the amount of money Jessica has at the end of week n. Using this rule, we can calculate the amount of money she will have in her savings account at the end of any given week.

Step-by-step explanation:

The amount of money Jessica has in her savings account at the end of each week can be calculated using a recursive rule. The recursive rule for Jessica's savings account is: S(n) = S(n-1) + 40, where S(n) represents the amount of money Jessica has at the end of week n, and S(n-1) represents the amount of money she had at the end of the previous week.

Let's use this recursive rule to find out how much money Jessica will have in her savings account at the end of 5 weeks:

S(1) = 200 (initial amount)

S(2) = S(1) + 40 = 200 + 40 = 240

S(3) = S(2) + 40 = 240 + 40 = 280

S(4) = S(3) + 40 = 280 + 40 = 320

S(5) = S(4) + 40 = 320 + 40 = 360

So, at the end of 5 weeks, Jessica will have $360 in her savings account.