How can I complete these 4 patterns:
17, ___, ___, 62, ___, 92
39, ___, ___, ___, 75, 84
57, ___, ___, 33, ___, 17
15, ___, ___, 33, ___, 45
Thanks, Miss Sue! I think I have it now.
57, 49, 41, 33, 25, 17
15, 21, 27, 33, 39, 45
You're welcome, Kel.
thanks that helped me but can you give an example for all
For each pattern, a number is added or subtracted from the last number to get the next number.
For example:
17 + 15 = 32 + 15 = 47 + 15 = 62 + 15 = 77 + 15 = 92
The second one should be obvious.
For the third one, think about the difference between 33 and 17.
We'll be happy to check your answers.
To complete each of these patterns, we need to look for a consistent rule or pattern that governs the sequence. Here's a step-by-step approach to solving each pattern:
Pattern 1 (17, ___, ___, 62, ___, 92):
- Look for a common difference or a consistent relationship between the numbers.
- Subtract the first number from the second number, then subtract the second number from the third number. If these differences are equal, then we may have an arithmetic progression.
- The difference between 17 and the missing number is the same as the difference between the missing number and 62. Similarly, the difference between 62 and the final missing number should be the same.
- Let's calculate the differences:
- Difference between 17 and the missing number: x - 17
- Difference between the missing number and 62: 62 - x
- Difference between 62 and the final missing number: final missing number - 62
- Since we are assuming an arithmetic progression, this means that the three differences should be equal.
- Setting up an equation: (62 - x) = (x - 17) = (final missing number - 62)
- Solve the equation for x.
- Once you find the value of x, you can calculate the missing numbers.
Pattern 2 (39, ___, ___, ___, 75, 84):
- Again, let's look for a common difference or a consistent relationship between the numbers.
- We can subtract the first number from the second number, then subtract the second number from the third number to check if the differences are equal.
- The differences between each pair of consecutive numbers should be the same.
- Let's calculate the differences:
- Difference between 39 and the missing number: x - 39
- Difference between the missing number and 75: 75 - x
- Difference between 75 and the final missing number: final missing number - 75
- Set up an equation: (75 - x) = (x - 39) = (final missing number - 75)
- Solve the equation for x and find the missing numbers.
Pattern 3 (57, ___, ___, 33, ___, 17):
- Once again, we're searching for a common difference or relationship.
- Calculate the differences between consecutive numbers:
- Difference between 57 and the missing number: x - 57
- Difference between the missing number and 33: 33 - x
- Difference between 33 and the final missing number: final missing number - 33
- Set up an equation: (33 - x) = (x - 57) = (final missing number - 33)
- Solve the equation for x to find the missing numbers.
Pattern 4 (15, ___, ___, 33, ___, 45):
- Look for a common difference or relationship.
- Calculate the differences between consecutive numbers:
- Difference between 15 and the missing number: x - 15
- Difference between the missing number and 33: 33 - x
- Difference between 33 and the final missing number: final missing number - 33
- Set up an equation: (33 - x) = (x - 15) = (final missing number - 33)
- Solve the equation for x to find the missing numbers.
By following these step-by-step approaches, you can solve each pattern and find the missing numbers.