Quadratic Sequences (finding Nth term) STEP-BY-STEP

Shows you how to find the nth term for a quadratic sequence (one where the differences are not equal) using an example! 

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  • Created by: Katy
  • Created on: 24-05-12 19:07
Preview of Quadratic Sequences (finding Nth term) STEP-BY-STEP

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QUADRATIC SEQUENCES
Example (apply to all quadratic sequences):
4 7 12 19 28
FIND THE FIRST DIFFERENCE:
4 7 12 19 28
3 5 7 9
FIND THE SECOND DIFFERENCE:
3 5 7 9
2
N
2 2 2 2nd difference. If it were a 2nd
difference of 4 it would be N4.
Write in a table. N 2 is the normal nth terms 2 . Then find
the difference between sequence number and N 2 :
Term 4 7 12 19 28
Nth term 1 2 3 4 5
N(2) 1 4 9 16 25
Difference 3 3 3 3 3
(term-N2)
12-9 = 3
2
Nth term = N + 3

Comments

daviesg

A good demonstration of finding the nth term of a quadratic example

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