Describe the pattern in the sequence 2 comma 4 comma 6 comma 12 comma 14 comma 28 comma ellipsis. Find the next three numbers in the pattern.

Question

(1 point)
Responses

add 2; 30, 32, 34
add 2; 30, 32, 34

multiply by 2; 56, 112, 224
multiply by 2; 56, 112, 224

alternate multiplying by 2 and by 3; 84, 168, 504
alternate multiplying by 2 and by 3; 84, 168, 504

alternate multiplying by 2 and adding 2; 30, 60, 62

Answer 1

To identify the pattern in the sequence 2, 4, 6, 12, 14, 28, we can break it down:

1. The first three numbers: 2, 4, 6 - these can be seen as an increasing sequence, specifically, an addition of 2:

   • 2 + 2 = 4
   • 4 + 2 = 6

2. The next number is 12, which can be seen as multiplying the previous number (6) by 2:

   • 6 * 2 = 12

3. Next, we have 14 - you can obtain this by adding 2 to the previous addition:

   • 12 + 2 = 14

4. The number after that is 28, which is again multiplying the last significant value (14) by 2:

   • 14 * 2 = 28

Following this pattern, it turns into alternating operations of adding 2 and then multiplying by 2:

• The next number following 28 would be:

  • 28 + 2 = 30

• The subsequent number will be:

  • 30 * 2 = 60

• Finally, we'll add 2 again:

  • 60 + 2 = 62

So the next three numbers in the sequence are 30, 60, and 62, making this the correct response:

alternate multiplying by 2 and adding 2; 30, 60, 62.