Answer :
To complete these number patterns, we need to understand the rule governing each sequence. Let's look at each pattern one by one:
(a) 10, 20, ______
This pattern is an arithmetic sequence where each number is increased by 10. So, after 20, the next number is:
[tex]10 + 10 = 20[/tex]
Therefore, the next number is 30.
(b) 55, 50, ______
This sequence decreases by 5 each time. Thus, after 50:
[tex]50 - 5 = 45[/tex]
The next number is 45.
(c) 12, 14, ______
In this pattern, each number increases by 2. So, the number following 14 is:
[tex]14 + 2 = 16[/tex]
Therefore, the next number is 16.
(d) 25, 50, ______
This sequence doubles each time. Therefore, the number after 50 is:
[tex]50 imes 2 = 100[/tex]
So, the next number is 100.
(e) 60, 66, ______
This sequence increases by 6 each time. Thus, the number following 66 is:
[tex]66 + 6 = 72[/tex]
Therefore, the next number is 72.
(f) 12, 14, ______
Just like part (c), the pattern increases by 2 each time. So, the next number is:
[tex]14 + 2 = 16[/tex]
Therefore, the number is 16.
By identifying the pattern rule in each sequence, you can continue the pattern correctly.
