The terms of the given arithmetic series are:
1)a₁=6
2)a₂=15
3)a₃=24
4)a₄=33
Given arithmetic series is:
[tex]S_4=\sum_{k=1}^{4}(-3+9k)[/tex]
What is an arithmetic series?
An arithmetic series is a list of numbers where the difference between two consecutive terms is constant throughout the series.
For a₁ put k=1 in the given series:
So, [tex]a_1=-3+9*1[/tex]
[tex]a_1=6[/tex]
Similarly, [tex]a_2=-3+9*2[/tex]
[tex]a_2=15[/tex]
[tex]a_3=-3+9*3[/tex]
[tex]a_3=24[/tex]
[tex]a_4=-3+9*4[/tex]
[tex]a_4=33[/tex]
Therefore, the terms of the given arithmetic series are:
1)a₁=6
2)a₂=15
3)a₃=24
4)a₄=33
To get more about the arithmetic series visit:
https://brainly.com/question/6561461
