SOLUTION: Write a rule for the nth term of the arithmetic sequence a2=-28, a20=52 The answer is aN= -332/9 + 40/9N if that helps. Please explain if you can

Algebra ->  Signed-numbers -> SOLUTION: Write a rule for the nth term of the arithmetic sequence a2=-28, a20=52 The answer is aN= -332/9 + 40/9N if that helps. Please explain if you can      Log On


   



Question 726237: Write a rule for the nth term of the arithmetic sequence
a2=-28, a20=52
The answer is aN= -332/9 + 40/9N if that helps. Please explain if you can

Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
arithmetic sequences work a lot like lines
a2=-28, a20=52
tells us that
d=(52-28)/(20-2)=4/3
then using the "points" we can write the general term
an = am +(n-m)d (n > m)
an = -28+(n-2)*(4/3)