If the common values of terms added to each number throughout the progression, then the progression or pattern of the series is called arithmetic progression.
The nth term of the series 12,22,32,42,......... is (2+10n).
What is arithmetic progression?
- A series that followed a particular pattern.
- Each term is increased or decreased with a constant arithmetic operation.
- The difference between a term and its preceding term is always a constant throughout the series.
How can you calculate nth term?
The formula for finding the nth term of the series is mentioned below:
[tex]T_n=a+(n-1)d[/tex]
Substitute the values and solve it further:
[tex]\begin{aligned}T_n&=12+(n-1)10\\&=12+10n-10\\&=10n+2\end{aligned}[/tex]
Therefore, it has been concluded that the nth term of the series is (10n+2).
To know more about the arithmetic progression, please refer to the link:
https://brainly.com/question/24873057
