Posted by **Faith** on Friday, May 29, 2009 at 10:32pm.

Name the constant differences of the sequence 20, 21, 26, 35, 48...

What does "constant differences" mean?

Thank you so much! :)

- Algebra -
**Reiny**, Friday, May 29, 2009 at 10:50pm
suppose you subtract the second - first = 1

third - second = 5

fourth - third = 9

fifth - fourth = 13

to get the "first differences" of 1,5,9,13

now suppose we repeat the same procedure

5-1 = 4

9-5 = 4

13-9 = 4

notice we now have "constant differences" but we had to do it twice.

general concept:

if the first differences are constant, then the data came from a first degree relation

if the second differences are constant, then the data came from a second degree, or quadratic relation

if the third ....

- Algebra -
**Ms. Sue**, Friday, May 29, 2009 at 10:51pm
This site may help.

http://www.icoachmath.com/SiteMap/ConstantFunction.html

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