Respuesta :
Since you cumulate $0.50 with each passing day, after [tex] d [/tex] days you owe your brother [tex] 0.5d [/tex] more dollars.
So, after 17 days, you owe him
[tex] 17\times 0.5 = 8.5 [/tex]
extra dollars, for a total of
[tex] 40+8.5 = 48.5 [/tex]
The amount you owe on day 17 is $48.5 if yesterday you borrowed $40 from your brother every day that you don't pay it back, you owe $.50 more.
What is a sequence?
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is given that:
Yesterday you borrowed $40 from your brother every day that you don't pay it back, you owe $.50 more.
With each day that goes by, you accrue $0.50, so eventually, you owe your brother more money.
You now owe him after 17 days.
17x0.5 = 8.5
Total amount on day 17 = 40 + 8.5 = $48.5
Thus, the amount you owe on day 17 is $48.5 if yesterday you borrowed $40 from your brother every day that you don't pay it back, you owe $.50 more.
Learn more about the sequence here:
brainly.com/question/21961097
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