SOLUTION: Write an equation for the nth term of the given arithmetic sequence. 7, 13, 19, 25

Algebra ->  Sequences-and-series -> SOLUTION: Write an equation for the nth term of the given arithmetic sequence. 7, 13, 19, 25      Log On


   

Question 743058: Write an equation for the nth term of the given arithmetic sequence.

7, 13, 19, 25
Answer by davethejackal(28) About Me  (Show Source):
You can put this solution on YOUR website!
Given
+x%5B0%5D=7+
+x%5B1%5D=13+
+x%5B2%5D=19+
+x%5B3%5D=25+

General form for the nth term is:
+x%5Bn%5D=+x%5B0%5D+%2B+c%28n%29+

Where +c=x%5Bi%5D-x%5Bi-1%5D+
Here
c+=+x%5B1%5D-x%5B0%5D=x%5B2%5D-x%5B1%5D=x%5B3%5D-x%5B2%5D=6+
hence the equation for the nth term becomes:
+x%5Bn%5D+=+7+%2B+6n+