Answer:
[tex]U_{n} = (40) + (n - 1)(10)[/tex]
Step-by-step explanation:
The constant increase every hour indicates a linear correlation, which can be represented by an arithmetic sequence.
The nth term formula is a formula for any specific term you wish to find.
The formula is:
[tex]U_{n} = a + (n - 1)d[/tex]
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term
In this case:
a = 40
d = 10
And so, the nth term formula is:
[tex]U_{n} = (40) + (n - 1)(10)[/tex]
