The sum of the first 19 terms of the given arithmetic series is equal to 912.
Given the following sequence:
What is an arithmetic series?
A arithmetic series can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.
Mathematically, an arithmetic series is given by the expression:
[tex]S_n = \frac{n}{2}(2a +(n-1)d)[/tex]
Where:
- d is the common difference.
- a is the first term of an arithmetic series.
- n is the total number of terms.
Substituting the given parameters into the formula, we have;
[tex]S_{19} = \frac{19}{2}(2(3) +(19-1)5)\\\\S_{19} = 9.5(6+18(5))\\\\S_{19} = 9.5(6+90)\\\\S_{19} = 9.5 \times 96[/tex]
19 term = 912.
Read more on arithmetic series here: brainly.com/question/12630565
