find the general term of the set.
(8,12,16,20,24,...)
add 4 each time n if you are looking for the nth term then it will be 4n+4
Add 4 for all numbers.
8 + 4 = 12
12 + 4 = 16
16 + 4 = 24
24 + 4 = 28
etc.
4n
the 4n is the general rule or?
To find the general term of the given set (8, 12, 16, 20, 24, ...), we can observe that each term is obtained by adding 4 to the previous term. This means that the common difference between any two consecutive terms is 4.
The first term of the set is 8. To find the nth term, we can use the formula for the arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 8, and the common difference is 4. So, the nth term can be found using the formula:
nth term = 8 + (n - 1) * 4
Simplifying this equation, we get:
nth term = 8 + 4n - 4
= 4n + 4
Therefore, the general term of the set (8, 12, 16, 20, 24, ...) is 4n + 4.