Respuesta :
The sum of the arithmetic series 19 + 25 + 31 + 37 + … at n = 9 exists 387.
An arithmetic series exists given, 19 + 25 + 31 + 37 + … sum of this series exists to be defined at n = 9.
What is arithmetic progression?
Arithmetic progression exists the series of numbers that contain a common difference between adjacent values.
The sum of an arithmetic series exists given as
[tex]$S_n = \frac{n}{2}[2a+(n - 1)d][/tex]
Where n be the total terms =9
a be the first term = 19
d be the common difference = 6
Substitute the values in the above equation, we get
[tex]$S_9 = \frac{9}{2}\left[2\cdot 19+\left(9\:-\:1\right)6\right][/tex]
[tex]$ = \frac{9}{2}\left[86\right][/tex]
= 387
Therefore, the sum of the arithmetic series 19 + 25 + 31 + 37 + … at
n = 9 exists 387.
To learn more about the sum of the arithmetic series refer to:
https://brainly.com/question/17140008
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