Question

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

Answer 1

`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

Answer 2

the anwser is a hope it helps