SOLUTION: The first three terms of an arithmetic sequence are -12, -4, and 4. Which term is 212 ?

Algebra ->  Sequences-and-series -> SOLUTION: The first three terms of an arithmetic sequence are -12, -4, and 4. Which term is 212 ?      Log On


   



Question 1044785: The first three terms of an arithmetic sequence are -12, -4, and 4. Which term is 212 ?
Found 3 solutions by Alan3354, ikleyn, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The first three terms of an arithmetic sequence are -12, -4, and 4. Which term is 212 ?
------
Term n = -12 + 8*(n-1)
---
Term 1 = -12
Term 2 = -4
Term 3 = +4
---
Term 212 = -12 + 8*211 = 1676

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
The first three terms of an arithmetic sequence are -12, -4, and 4. Which term is 212 ?
~~~~~~~~~~~~~~~~~~~~~~~~~~

212 = -12 + 8*(n-1).   (1)

You are asked to find n.

From (1) n-1 = %28212%2B12%29%2F8 = 28.

Hence, n = 28 + 1 = 29.

Check.  -12 + 8*(29-1) = -12 + 8*28 = 212.  Correct !

Answer.  212 is the 29-th term.



Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
The first three terms of an arithmetic sequence are -12, -4, and 4. Which term is 212 ?
highlight_green%28matrix%281%2C3%2C+The%2C+29%5E%28th%29%2C+term%29%29 is 212.