[tex]T_n = a_1 + (n - 1) d[/tex]
The sequence is:
24, 31, 38,45, 52
We can see from the sequence:
a = 24, d = 7
Find nth term:
[tex]T_n = 24 + 7(n - 1)[/tex]
[tex]T_n = 24 + 7n - 7[/tex]
[tex]T_n = 7n + 17[/tex]
When = 500,
[tex]T_{500} = 7(500) + 17[/tex]
[tex]T_{500} = 3517[/tex]
Answer: 500th term is 3517
