Posted by Abigail on Wednesday, November 2, 2011 at 6:32pm.
Help, I can't find the pattern rule for this sequence(eg. 6,3,2,9,18 and the pattern rule is n squared7)
The pattern: 6,28,64,114,178.
What's the pattern rule?
The pattern: 96,84,64,36.
What's the pattern rule?
The pattern: 0,24,216,960.
What's the pattern rule?

Math  Steve, Thursday, November 3, 2011 at 3:28pm
These appear to be susceptible to solution using Newton's Divided Difference method.
For the first one,
n: 1 2 3 4 5
f(n): 6 28 64 114 178
d1(n)=f(n+1)f(n): 22 36 50 64
d2(n)=[d1(n+1)d1(n)]/2: 7 7 7 7
The second differences are constant. So, the final function has coefficients from the first entry in each row:
f(n) = 6 + 22(n1) + 7(n1)(n2)
f(n) = 7x^2 + x  2
This is the polynomial of lowest degree which fits all the given data points.
Read up on the method, and you can do the others easily. A web search on "divided difference interpolation formula" reveals lots of articles, and even a calculator at the ucla site.

Math  Jen, Friday, May 4, 2012 at 12:30pm
pattern rule for
2,3, ___, 7, 11, 13, 17, ___

Math  sara, Thursday, August 14, 2014 at 7:32pm
8,9,11,14 , , ,

Math  Mason, Thursday, December 4, 2014 at 5:22pm
15,10,5 I need A. B. C. I need the number pattern
Answer This Question
Related Questions
 Algebra  i am stuck on this one math problem. The question is to write a rule ...
 equation  Just made number pattern 4 8163264 write a rule for the pattern ...
 math  Kurt used the rule add 4, subtract 1 to generate a pattern. The first ...
 Math Grade 5  A number pattern with the rule 6n, where n represents the ...
 MATH HELP  If the pattern rule is x2 +6, imagine what the trend line for this ...
 math  i can not find the pattern or a rule... write the next three terms and ...
 Math: Pattern  Use the rule to write the first 12 terms in the pattern. Rule: ...
 english  Which pattern is most effective to deliver a persuasive message when ...
 PreAlgebra  Write a rule for this pattern.Fing the next three numbers in the ...
 Math  use the rule to write the first twelve numbers in the pattern. describe ...
More Related Questions