In a sequence of numbers a 3 =0,a 4 =4a 5 =8.a 6 =12, and a_{7} = 16 Based on this information , which equation can be used to find the n ^ (th) term in the sequence , a_{n}

Answer 1

To find the equation for the nth term in the sequence, we need to look for a pattern in the given information.

From a3 to a7, we can see that the sequence is increasing by 4 each time. This means that the difference between consecutive terms is 4.

Using this information, we can write the equation for the nth term as:

an = a1 + (n-1)d

where a1 is the first term in the sequence, d is the common difference, and n is the term number.

In this case, a1 = 0 and d = 4. Therefore, the equation for the nth term in the sequence is:

an = 0 + (n-1)4

or

an = 4n - 4