The correct formula to find the general term of an arithmetic sequence is,
[tex] a_{n} =a_{1} +(n-1)d [/tex].
Where , [tex] a_{n} [/tex] = nth term.
[tex] a_{1} [/tex]= First term
and d = common difference.
The given sequence is: 24, 30, 36, 42, 48, ...
Here [tex] a_{1} [/tex]= 24,
d = 30-24 = 6
We need to find the 500th term. So, n = 500.
Next step is to plug in these values in the above formula. Therefore,
[tex] a_{500} =24 +(500-1)*6 [/tex]
= 24 + 499 * 6
= 24 + 2994
= 3018
Therefore, 500th of this sequence is 3018.
Hope this helps you!
