Answer:
[tex]a_1=7[/tex]
[tex]a_2=7\\a_3=10\\a_4=13\\a_5=16[/tex]
Step-by-step explanation:
The arithmetic series is [tex]S_{5}=\sum_{k=1}^5(1+3k)[/tex]
From the given series the general term of the series is [tex]a_k=1+3k[/tex]
When [tex]k=1[/tex], we substitute into the general formula to get:
[tex]a_1=1+3(1)=4[/tex]
When k=2, we get: [tex]a_2=1+3(2)=7[/tex]
When k=3, we substitute to get:
[tex]a_3=1+3(3)=10[/tex]
When k=4, we substitute to get:
[tex]a_4=1+3(4)=13[/tex]
When k=5, we get:
[tex]a_5=1+3(5)=16[/tex]
