Question 612432: Determine whether or not the following sequences are arithmetic s.If yes state the common difference.
5,-5,-15,-25,-35,...
1,2,4,7,11,...
Found 2 solutions by Edwin McCravy, ewatrrr:
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website! Determine whether or not the following sequences are arithmetic s.If yes state the common difference.
5,-5,-15,-25,-35,...
Subtract the 2nd term minus the 1st term = (-5)-(5) = -5-5 = -10
Subtract the 3rd term minus the 2nd term = (-15)-(-5) = -15+5 = -10
Subtract the 4th term minus the 3rd term = (-25)-(-15) = -25+15 = -10
Subtract the 5th term minus the 4th term = (-35)-(-25) = -35+25 = -10
Yes it is an arithmetic sequence because all those differences are the
same; therefore the common difference is -10
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1,2,4,7,11,...
Subtract the 2nd term minus the 1st term = (2)-(1) = 1
Subtract the 3rd term minus the 2nd term = (4)-(2) = 2
Subtract the 4th term minus the 3rd term = (7)-(4) = 3
Subtract the 5th term minus the 4th term = (11)-(7) = 4
No it is not an arithmetic sequence, because these difference are not
all the same. So there is no common difference (Note: We could have
stopped when we found that the 2 was not the same as the 1).
Edwin
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website!
Hi,
Determine whether or not the following sequences are arithmetic.
If yes state the common difference.
{5,-5,-15,-25,-35,...} || yes, d= -10
(1,2,4,7,11,...) NO
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