Answer:
The 500th term is 3,517
Explanation:
Here in this question, we are given an explicit formula to calculate the 500th term of the sequence
The formula to use is ;
a + (n-1)d
where a refers to the first term which is 24 in this case, while d is the common difference which is the difference between success terms and that is 52-45 = 45-38 = 7 and finally n is 500
Now we make a substitution into the formula and we have
24 + (500-1)7
= 24 + (499)7
= 24 + 3493 = 3,517