Question

Can someone help me please?

Write the equation for finding the nth term of the sequence. 18, 14, 10

Answer 1

Let's denote three first terms of given arithmetic sequence
`a_(1) =18 \\ a_(2)=14 \\ a_(3)=10` (each next term differs from the previous by -4), then the common difference
`d=a_(2)-a_(1)=14-18=-4`.
The formula for the
`n^(th)` term of an arithmetic sequence is
`a_(n) =a_(1)+(n-1)d` and in your case
`a_(n) =18+(n-1)(-4)=18-4n+4=22-4n`.