An arithmetic sequence is given below.
28,21,14,7,
Write an explicit formula for the n^th term ^an
The common difference in this arithmetic sequence is -7, as each term is obtained by subtracting 7 from the previous term.
To find the explicit formula for the nth term, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
In this case, a1 is the first term, which is 28, and d is the common difference, which is -7.
Therefore, the explicit formula for the nth term an in this arithmetic sequence is:
an = 28 + (n - 1)(-7)