Consider the arithmetic sequence as given:
10, 8, 6, 4
We have to determine the linear equation which represents the given arithmetic sequence.
Since, the nth term of the arithmetic sequence is given by the formula as:
[tex]a_n = a+(n-1)d[/tex]
So, substituting the values of 'a' and 'd' in the given formula, we get
[tex]a_n = 10+(n-1)(-2)[/tex]
[tex]a_n = 10-2n+2[/tex]
[tex]a_n = 12-2n[/tex]
So, the linear equation which represents the given arithmetic sequence is [tex]a_n = 12-2n[/tex].
