SOLUTION: Insert four arithmetic means between 19 and -16

Algebra ->  Sequences-and-series -> SOLUTION: Insert four arithmetic means between 19 and -16      Log On


   

Question 1184851: Insert four arithmetic means between 19 and -16
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The first term is 19; let d be the common difference. Inserting four arithmetic means between the first and last terms means the sequence is

19, 19+d, 19+2d, 19+3d, 19+4d, -16

The last term, -16, is 19+5d.

(1) Solve 19+5d=-16 to determine the common difference d
(2) Use d to form the sequence