Describe the pattern in the sequence 2,4,6,12,14,28. Find the next three numbers in the pattern.
The pattern in the given sequence is as follows:
- The first number is 2.
- The second number is double the previous number (2 * 2 = 4).
- The third number is the previous number plus 2 (4 + 2 = 6).
- The fourth number is double the third number (6 * 2 = 12).
- The fifth number is the previous number plus 2 (12 + 2 = 14).
- The sixth number is double the fifth number (14 * 2 = 28).
To find the next three numbers in the pattern, we can continue applying the pattern:
- The seventh number is the previous number plus 2 (28 + 2 = 30).
- The eighth number is double the seventh number (30 * 2 = 60).
- The ninth number is the previous number plus 2 (60 + 2 = 62).
Therefore, the next three numbers in the pattern are 30, 60, and 62.
Describe the pattern in the sequence 2,4,6,12,14,28. Find the next three numbers in the pattern.
add 2;30,32,34
multiply by 2; 56, 112, 224
alternate multiplying by 2 and by 3; 84, 168, 504
alternate multiplying by 2 and adding 2; 30, 60, 62
Apologies for the incorrect previous response. Upon reevaluating the sequence, it appears that there are multiple possible patterns that can be observed. Here are a few potential patterns:
Pattern 1:
- The first number is 2.
- Each subsequent number is obtained by doubling the previous number, except for the third and sixth numbers which are obtained by adding 2 to the respective previous numbers.
Using this pattern, the next three numbers in the sequence would be:
- The seventh number: 28 * 2 = 56.
- The eighth number: 56 + 2 = 58.
- The ninth number: 58 * 2 = 116.
Therefore, the next three numbers in this pattern are 56, 58, and 116.
Pattern 2:
- The first number is 2.
- Each subsequent number is obtained by adding 2 to the previous number, except for the third and sixth numbers which are obtained by doubling the respective previous numbers.
In this case, the next three numbers would be:
- The seventh number: 28 + 2 = 30.
- The eighth number: 30 * 2 = 60.
- The ninth number: 60 + 2 = 62.
So, according to this pattern, the next three numbers are 30, 60, and 62.
Pattern 3:
- The first number is 2.
- Each subsequent number is obtained by alternating between multiplying the previous number by 2 and multiplying the previous number by 3.
Using this pattern, the next three numbers would be:
- The seventh number: 28 * 2 = 56.
- The eighth number: 56 * 3 = 168.
- The ninth number: 168 * 2 = 336.
Therefore, according to this pattern, the next three numbers are 56, 168, and 336.
As you can see, there is no unique pattern that can be determined from the given sequence. Different patterns can be identified based on different observations.
are you sure thats the correct answer
I apologize for any confusion caused. After further analysis, it seems that the correct pattern for the sequence is as follows:
- The first number is 2.
- Every other number is obtained by adding 2 to the previous number.
- The remaining numbers are obtained by doubling the previous number.
Using this pattern, we can find the next three numbers in the sequence:
- The seventh number: 28 + 2 = 30.
- The eighth number: 30 * 2 = 60.
- The ninth number: 60 + 2 = 62.
Therefore, according to this pattern, the next three numbers are 30, 60, and 62.