Mathematics (Linear) Proof Worksheet Page 2

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1.
The nth even number is 2n.
The next even number after 2n is 2n + 2
(a) Explain why.
...................................................................................................................
...................................................................................................................
(1)
(b) Write down an expression, in terms of n, for the next even number after
2n + 2
.....................................
(1)
(c) Show algebraically that the sum of any 3 consecutive even numbers is
always a multiple of 6
(3)
(5 marks)

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