Fill in the blanks.
1. 2, 4, 6 and 12 are the ..................... of 2.
2. 11, 22, 33 and 44 are ........ ...... of 11.
3. 1,9, 13, 27 and 39 are examples of ......................
numbers.
4.
4, 26, 32 and 50 are examples of ........................... numbers.
5.
11, 13, 23 and 37 are examples of ..................... numbers.
6.
The largest factor of 18 is .............
7.
8.
The largest 1-digit prime number is .......
The .. ....................... of a number can be greater than or equal to the number.
.......... is neither prime nor composite.
10.
The smallest factor of 15 is .........
11.
The smallest multiple of 12 is.
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Answer:
answer of 6 question is 3
Answer:
12 Number Patterns
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, . . .