The sum of the first 100 terms of the arithmetic series is of 58,900.
What is an arithmetic sequence?
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
For this problem, the parameters are:
[tex]a_1 = -5, d = 12, n = 100[/tex]
Then:
[tex]a_{100} = -5 + 99(12) = 1183[/tex]
Hence the sum is given by:
[tex]S_{100} = 50(-5 + 1183) = 58,900[/tex]
More can be learned about an arithmetic sequence at https://brainly.com/question/6561461
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