In a sequence of numbers a3=0,a4=4,a5=8,a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in sequence, an?
To find the equation to find the nth term in the sequence, we can analyze the given information.
From the given information, we observe that each term increases by 4. So, the difference between consecutive terms is 4.
Since a3 = 0, a4 = 4, a5 = 8, and a6 = 12, we can consider a3 as the first term and a6 as the fourth term.
Therefore, we can find the nth term using the formula for the arithmetic sequence:
an = a1 + (n - 1)d
In this case, a1 is a3 = 0 and common difference d is 4.
Hence, the equation to find the nth term in the sequence is:
an = 0 + (n - 1)4
Simplifying this equation, we get:
an = 4n - 4