# Quadratic Sequences

all you need to know! :)

- Created by: Kelly:)
- Created on: 30-05-11 16:05

First 125 words of the document:

Finding the nth term of these sequences can be a little more difficult

than soling the linear sequences.

Find the nth term to this sequence:

8 19 36 59 88 123

11 17 23 29 35

6

6 6 6

First you find the first difference between them.

Secondly, you find the second difference between the first

differences, these will all be equal.

Thirdly, you need to halve the second difference to find the

coefficient of n^2, so in this case it's: 3n^2.

Write out the original sequence again and underneath write out the

sequence for 3n^2:

8 19 36 59 88 123

3 12 27 48 75 108

We then need to observe the differences between these two

sequences and work out the rest of our nth equation.

Differences:

5 7 9 11 13 15

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