Math
posted by Abigail
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?

Steve
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. 
Jen
pattern rule for
2,3, ___, 7, 11, 13, 17, ___ 
sara
8,9,11,14 , , ,

Mason
15,10,5 I need A. B. C. I need the number pattern
Respond to this Question
Similar Questions

PreAlgebra
Write a rule for this pattern.Fing the next three numbers in the pattern. 1,4,10,22,46,94 the answer that i came up with was that the pattern start with one add 3 and it goes by 3's or 6's. Please and Thank you Can you see that each … 
english
Which pattern is most effective to deliver a persuasive message when the audience may resist doing as you ask and you expect emotion to be more important than logic in the decision? 
Math Grade 5
A number pattern with the rule 6n, where n represents the position of the number in the pattern. What are the first five numbers of the pattern? 
Algebra
i am stuck on this one math problem. The question is to write a rule for the pattern (it is a section on sequences) The pattern is 5,10,15,20,25. What is the rule? 
math
Kurt used the rule add 4, subtract 1 to generate a pattern. The first term in his pattern is 5. Which number could be in Kurt's pattern? 
Math: Pattern
Use the rule to write the first 12 terms in the pattern. Rule: Add 10,Subtract 5 First term: 11 (IM HAVING TROUBLE THIS IS ONE OF MY WEAKNESSES) 
math
i can not find the pattern or a rule... write the next three terms and write a rule to describe the number pattern. 0.57, 0.66, 0.75, 0.84 
MATH HELP
If the pattern rule is x2 +6, imagine what the trend line for this pattern would look like (on a graph of course). What pattern rule would have a trend line at the same vertical intercept (yintercept) but has a different steepness? 
Math
use the rule to write the first twelve numbers in the pattern. describe another pattern in the numbers. Rule: Add 3, subtract 2 First term: 7 
equation
Just made number pattern 4 8163264 write a rule for the pattern explain how you know the rule is correct