Suppose that a savings account is opened with an initial deposit of $3,000. Also, the account gets the interest that is compounded each month at an interest rate that is increasing each month as follows:

0.10%, 0.11%, 0.12%, 0.13%, 0.14%, 0.15%, .

For each of the following three deposit scenarios (A), (B), and (C) described below, do the following:

(i) Use the Excel to construct a single iterative equation for the account each month P_n.

(ii) Use the Excel to iterate the equation a sufficient number of times to determine how long it takes for the balance to reach $10,000.

(iii) Use the Excel to draw a time series graph of P_n for this time interval.

Three deposit scenarios:

(A) $100 is deposit at the end of every month.

(B) The amounts deposited at the end of subsequent months are:

$100, $50, $100, $50, $100, $50, $100, $50,

(C) The amounts deposited at the end of subsequent months are:

$100, $150, $175, $187.50, $193.75,

Please solve it.