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Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:

The sum of the first n terms of an arithmetic sequence is given by:

In this question:

We want the sum of the first 37 terms, so we have to find 




Then

The sum of the first 37 terms of the arithmetic sequence is 2997.
Answer:
A
Step-by-step explanation:
hope this helped!
Fit Fast: a set feet per class => y = Ax
Stepping Up: a monthly fee plus an additioal fee per class => h = Bx + C
You can discard the second and the fourth systems because they do not have the form established from the statement.
The first system produce an obvious result given that is represents an option that is always better than the other 5.5x will be lower than 7.5x + 10 for any positive value of x, and so there is no need to make any comparission.
The third system is
y = 7.5x and y = 5.5x + 10 which need to be solved to determine when one rate is more convenient than the other.
Answer: y = 7.5x and y = 5..5x + 10