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Quadratic Sequences

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by

Mr Mattock

on 7 May 2016

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Transcript of Quadratic Sequences

Work out the nth term of these linear patterns:

(a) 6, 10, 14, 18, ....

(b)


(c) 18, 13, 8, 3, ...

(d)


(e) -6, 1, 8, 15, ...
Quadratic Sequences
Starter
Quadratic Sequences
2, 8, 18, 32, 50, ....
Activity
Complete the quadratic sheet
Understand what is meant by a quadratic sequence and write down nth term of quadratic sequences.
The General Form of a quadratic.
Quadratic = Quadruas (latin for square)


General form =
an + bn + c
where
a
= 0
2
Work out the nth term of these linear patterns:

(a) 6, 10, 14, 18, ....
4n + 2

(b)
5n + 4


(c) 18, 13, 8, 3, ...
23 - 5n or -5n + 23

(d)
4n + 1


(e) -6, 1, 8, 15, ...
7n - 13
Starter
The difference between the terms is a linear sequence.
1, 0, 0, 1, 3, 6, 10, ...
-1 0 1 2 3 4 .....
4, 9, 16, 25, 36, ...
Quadratic Sequences
2, 8, 18, 32, 50, ....
2n
4, 9, 16, 25, 36, ...
(n + 1)
n + 1
n + n
n(n + 1)
2
2
2
2
Activity
Complete the quadratic sheet
1)
(i) n - 1

(ii) 3n

(iii) (n - 1)

(iv) (n + 2)

(v) (2n) = 4n

2)
(i) n + 4

(ii) n(n + 2)

(iii) 7n

(iv) n



(v) (n + 1)(n + 2) - n = n + 2n + 2
2
2
2
2
2
2
1
2
2
2
2
2
Plenary
How many different ways can you show the nth term of this sequence.
Plenary
How many different ways can you show the nth term of this sequence.
(n + 1)(n + 2) + 2
n(n + 1) + 2(n + 2)
(n + 1) + n + 3
2
n + 2(n + 2) + n
2
(n + 2) - n
n + 3n + 4
2
2
Activities
Activity
Answers

Key
Examples
Full transcript