In a sequence of numbers a3=0, a4=4,a5=8, a6=12, and a7= 16 based on the information which equation can be used to find the nth term in the sequence an?
The common difference between consecutive terms in the sequence is 4. So, to find the nth term in the sequence, we can use the equation:
an = 4(n - 3)
Explanation:
Since a3 = 0, this means that the term a3 is the third term in the sequence. Similarly, a4 = 4, a5=8, a6=12, and a7=16 correspond to the fourth, fifth, sixth, and seventh terms, respectively.
The difference between consecutive terms in the sequence is 4. Therefore, to go from one term to the next, we add 4.
If we consider the term an, we can see that it is (n - 3) terms after a4. Since a4 is the fourth term, an is the (n - 3)th term.
Multiplied by the common difference (4), we obtain the equation an = 4(n - 3).