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

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) (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)
RELATED QUESTIONS
Write a rule for the nth term of the arithmetic sequence. Then find a20... (answered by user_dude2008,solver91311)

write a rule for the nth term of the arithmetic sequence of the followings: 1. d=4,... (answered by prateekagrawal)

direction: write a rule for the nth term of the arithmetic sequence 30. d=4, a14=46... (answered by Edwin McCravy)

write a rule for the nth term of the arithmetic sequence 2,9,16,23,30...What is... (answered by richwmiller)

write a rule for the nth term of the arithmetic sequence 1. a11=29; a20=101 2.a6=-31;... (answered by Edwin McCravy)

write a rule for the nth term of the arithmetic sequence. -12,-5,2,9,... (answered by josgarithmetic)

-22,-26,-30,-34 Write a rule for the nth term of the arithmetic sequence (answered by Fombitz)

Write a rule for the nth term of the arithmetic sequence that has the terms a3=17 and... (answered by stanbon)

``write the first six terms of the sequence 2. an=(n+1)^3 4. an=n/n+3 write the... (answered by CubeyThePenguin)