Therefore, the 500th term of the sequence exists 3517.
The given sequence is 24, 31, 38, 45, 52, ...
It exists an Arithmetic progression.
Here, the First term = 24
Common difference = 31 - 24 = 7
The given explicit formula for the nth term exists
an = a₁ + (n - 1)d
Where a₁ exists the first term, d exists a common difference.
Substitute a₁ = 24, d = 7 and n = 500
a(500) = 24 + (500 - 1)7
= 24 + (499)7
= 24 + 3493
a(500) = 3517
Therefore, the 500th term of the sequence exists 3517.
To learn more about Arithmetic progression refer to:
https://brainly.com/question/16982185
#SPJ9
