A man was given $x. He spent 50 cents a day. How much money had he left after

A) 10 days?
B) 2 weeks?
C) t days?

1 answer

1st term = x
2nd term = x-.5
3rd term = x - 2(.5)
....
10th term = x - 9(.5) = x - .45
...
14th term = x - 13(.5) = x - 6.5

t th term = x - (t-1)(.5)

I assume you are studying sequences and series.
Do you recognize the arithmetic sequence pattern ?