algebra 2
posted by Lea on .
Can you find the error for me in this equation, find the explicit formula, evaluate the formula for n?
I think the error is in the
a2a1 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
anan1 = 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.

N = $937.50
M = Month.
BAL = N  (M1)*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  (121)*62.50 = 250.