Question

Use the explicit formula an=a1+(n-1)

Answer 1

The anwser is a hope it helps

Answer 2

$T_n = a_1 + (n - 1) d$

The sequence is:
24, 31, 38,45, 52

We can see from the sequence:
a = 24, d = 7

Find nth term:
$T_n = 24 + 7(n - 1)$
$T_n = 24 + 7n - 7$
$T_n = 7n + 17$

When  = 500,
$T_{500} = 7(500) + 17$
$T_{500} = 3517$

Answer: 500th term is 3517