SOLUTION: decide whether the sequence is arithmetic. explain why or why not. 14,11,8,5,2,...

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Question 192378: decide whether the sequence is arithmetic. explain why or why not.
14,11,8,5,2,...
Found 2 solutions by Edwin McCravy, solver91311:
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
decide whether the sequence is arithmetic. explain why or why not.
14,11,8,5,2,...

To find out, 

1. subtract 2nd term - 1st term. we get 11-14 or -3.
2. subtract 3rd term - 2nd term. we get  8-11 or -3
3. subtract 4th term - 3rd term. we get   5-8 or -3
4. subtract 5th term - 4th term. we get   2-5 or -3

Since we got the same thing, -3, every time we subtracted
a term from the next term, we know it is an arithmetic
sequence with a common difference of -3.

Edwin
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The sequence is arithmetic because there is a common difference.


John
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