Wednesday

October 22, 2014

October 22, 2014

Posted by **Lea** on Thursday, February 21, 2013 at 2:59pm.

I think the error is in the

a2-a1 formula.and the -62.50.

I know the pattern is 62.50 paid per month.

Your uncle loaned you some money and did not charge interest. The amount you owe him at the end of the first 5 months is $937.50, $875.00, $812.50, $750.00 and $687.00. If the pattern continues, how much will you still owe him at the end of one year?

Compare the terms in the sequence to find a pattern. Then generalize in terms of n.

a2 - a1 = 875,00 - 937.50 = -62.50

a3 - a2 = 812.50 - 875.00 = -62.50

a4 - a3 = 750.00 - 812.00 = - 62.50

a5 - a4 = 687.00 - 750.00 = -62.50

an-an-1 = -62.50

Find an explicit formula.

an = 937.5- 62.50

Evaluate the form for n = 12.

an = 937.5 -62.5n

a12 = 937.5 - 62.5(12)

= 187.5

You still owe him $187.50 at the end of one year.

- algebra 2 -
**Henry**, Friday, February 22, 2013 at 5:29pmN = $937.50

M = Month.

BAL = N - (M-1)*62.50

Balance at end of:

1st = $937.50

2nd = 875.00

3rd = 812.50

4th = 750.00

5th = 687.50.

12th = $250.00

BAL = 937.50 - (12-1)*62.50 = 250.

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