Use the explicit formula 8. = a + (n-1). d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
A 3545
B. 3517
C. 3524
D. 3493

The 500th term is 3,517

Step-by-step 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

x/3-10=8

x/3=18

x=48