In a sequence of numbers,

a, = 0, a, = 4, as = 8, a. = 12, and a, = 16.
Based on this information, which equation can be used to find the n' term in the sequence, an?

1 answer

The given sequence is an arithmetic sequence with a common difference of 4.

The equation to find the n'th term in an arithmetic sequence is:

an = a1 + (n - 1)d

Where:
- an represents the n'th term in the sequence
- a1 represents the first term in the sequence
- n represents the position of the term in the sequence
- d represents the common difference

In this case, the first term a1 is 0 and the common difference d is 4. Therefore, the equation to find the n'th term is:

an = 0 + (n - 1)4

Simplifying this equation, we get:

an = 4n - 4

Hence, the equation to find the n'th term in the given sequence is an = 4n - 4.