SOLUTION: What is the formula for this pattern?
10, 9, 6, 1, -6
I understand that each number decreases by an odd number that is 2 more than the previous one, but I'm uncertain about ho
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Question 772029: What is the formula for this pattern?
10, 9, 6, 1, -6
I understand that each number decreases by an odd number that is 2 more than the previous one, but I'm uncertain about how to write that as an algebra formula. I came up with 2n-(n+1), but it only worked for the first one. If you could explain how you got an answer, that would also be very welcome.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Here is something you should find:
Do you notice that the difference between each term and the FIRST term is a square? (the first term is 10)
Make a data table with column headings to identify index, the term, expression for difference from 10, and expression to show how that difference is composed.
You should see, for index n, each term is .
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
What is the formula for this pattern?
10, 9, 6, 1, -6
I understand that each number decreases by an odd number that is 2 more than the previous one, but I'm uncertain about how to write that as an algebra formula. I came up with 2n-(n+1), but it only worked for the first one. If you could explain how you got an answer, that would also be very welcome.
Formula, based on pattern: , with:
"n" being the term number
being term number n's value
being the 1st term, or 10
Using the above pattern rule, or formula, , term number 6, or ------ ------
You can check other terms' values using this formula!!
Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com
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