12 Number Patternsmep Pupil Text 12
12 Number PatternsMEP Pupil Text 12 12.1 Simple Number Patterns A list of numbers which form a pattern is called a sequence. In this section, straightfor- ward sequences are continued. Worked Example 1 Write down the next three numbers in each sequence. (a) 2, 4, 6, 8, 10, . (b) 3, 6, 9, 12, 15, . Solution (a) This sequence is a list of even numbers, so the next three numbers will be 12, 14, 16. (b) This sequence is made up of the multiples of 3, so the next three numbers will be 18, 21, 24. Worked Example 2 Find the next two numbers in each sequence. (a) 6, 10, 14, 18, 22, . (b) 3, 8, 13, 18, 23, . Solution (a) For this sequence the difference between each term and the next term is 4. Sequence 6, 10, 14, 18, 22, . Difference 4 4 4 4 So 4 must be added to obtain the next term in the sequence. The next two terms are 22+= 4 26 and 26+= 4 30 , giving 6, 10, 14, 18, 22, 26, 30, . (b) For this sequence, the difference between each term and the next is 5. Sequence 3, 8, 13, 18, 23, . Difference 5 5 5 5 Adding 5 gives the next two terms as 23+= 5 28 and 28+= 5 33, giving 3, 8, 13, 18, 23, 28, 33, . 262 MEP Pupil Text 12 Exercises 1. Write down the next four numbers in each list. (a) 1, 3, 5, 7, 9, . (b) 4, 8, 12, 16, 20, . (c) 5, 10, 15, 20, 25, .
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