Paybeginning $1,032 - $150 = $882.56* 1.00938 = $ 890.84
Pay end $1,032.56 * 1.00938 = $1042.25- $150 = $892.25
The difference is in interest in the first month 892.25−890.25=2
Note: 11.25 / 12 = 0.00938 interest per month
You can predict that the sequence that repeats is a,b,b
Then you can use the division by 3 to determine if a term will be a, b or c.
If the residue of the division is 1, the term will be a; if the residue is 2 the term will be b, and if the residue is 0 the letter will be b.
For example, the residue of 4/3 is 1, and the 4th term is a, while the residue of 6/3 is zero and the 6th term is b.
Now find the 19th term. If you divide 19 by 3 you get residue 1.
Then the 19th term will be letter a.
I hope this helps, I tried to make my handwriting as easy to read and to explain as much, I just used a calculator to compute all those values to find AC