Mrs. Speas has $138 in her bank account during Week #1. At the end of each week, she deposits $55 into her bank account. What is the first term?

What is the difference?

What is the iterative rule for the amount of money Mrs. Speas has after n weeks? (you are NOT required to simplify)

1) The first term is $138

2) The difference is $55

3)  The iterative rule for the amount of money Mrs. Speas has after n weeks is 27.5·n² + 110.5·n

Step-by-step explanation:

The mount Mrs. Speas has in her bank account = $138

The amount of money she deposits each week = $55

The amount of money in Mrs. Speas account therefore, forms an Arithmetic Progression

1) The first term = a = The initial money Mrs. Speas has in her bank account = $138

2) The (common) difference = d =The amount she deposits at the end of each week = $55

The iterative rule for the amount of money Mrs. Speas has (in her bank account) after n weeks is given by the formula for the sum of an arthmetic progression (AP), Sₙ, as follows;

Substituting the values of a and d gives;

∴ 3)  The amount of money she has after n weeks = Sₙ = 27.5·n² + 110.5·n.

∞ this is your sign

£56

step-by-step explanation: