Dots are arranged to form pattern as show below: pattern 1 they are 2 pattern 2 they are 5 pattern 3 (a) how many dots are in the 4th, 5th, 11th, 200th patterns?
We cannot view the patterns.
To find the number of dots in each pattern, we need to identify the pattern or rule governing the arrangement of dots.
Let's observe the given information:
- Pattern 1: There are 2 dots.
- Pattern 2: There are 5 dots.
- Pattern 3: The number of dots is not specified.
Based on the available information, we can't say for sure what the exact pattern is. However, we can make a couple of assumptions and describe two possible patterns:
Pattern 1: Assuming the pattern starts with 2 dots, we can identify the following pattern:
Pattern 1: 2 dots
Pattern 2: 2 + 3 dots = 5 dots
Pattern 3: 5 + 4 dots = 9 dots
Pattern 4: 9 + 5 dots = 14 dots
Pattern 5: 14 + 6 dots = 20 dots
So, in this assumed pattern, we get the following results:
- Pattern 4: 14 dots
- Pattern 5: 20 dots
Pattern 2: Assuming the starting number of dots is not given and each subsequent pattern has an increase of 3 dots, we can identify the following pattern:
Pattern 1: x dots (unknown)
Pattern 2: x + 3 dots
Pattern 3: x + 3 + 3 dots = x + 6 dots
Pattern 4: x + 6 + 3 dots = x + 9 dots
Using this assumed pattern, we can't determine the number of dots in the fourth, fifth, and eleventh patterns without knowing the value of x.
For the 200th pattern, we can use the second assumed pattern:
Pattern 200: x + 3 × (200 - 1) dots = x + 597 dots
So, in this scenario, we have x + 597 dots in the 200th pattern.
In conclusion, without more information or a specific pattern rule, we cannot determine the exact number of dots in the 4th, 5th, 11th, and 200th patterns.