Question

3

Consider the following number pattern.
2; 18; 7; 12; 12; 6; 17......
(a) Write the next two terms of the sequence.

Answer 1

...; 0; 22

Explanation:

The pattern appears to consist of two interleaved arithmetic sequences.

__

Odd-numbered terms increase by 5: 2, 7, 12, 17, 22.

Even-numbered terms decrease by 6: 18, 12, 6, 0.

The next two terms are 0 and 22.