Select the correct answer6, 7, 16, 51, ___

The pattern in this sequence is that each number is obtained by multiplying the previous number by 2 and then adding 2.

Let's break it down:

• Start with 6.
• Multiply 6 by 2 to get 12, then add 2 to get 14. But the next number is 7, not 14, so this pattern doesn't fit.
• Let's try another pattern: add 1 to 6 to get 7.
• Multiply 7 by 2 to get 14, then add 2 to get 16.
• Multiply 16 by 3 to get 48, then add 3 to get 51.

So, the pattern seems to be: add 1, multiply by 2 and add 2, multiply by 3 and add 3.

Following this pattern, the next step would be to multiply 51 by 4 and add 4.

• Multiply 51 by 4 to get 204, then add 4 to get 208.

So, the next number in the sequence should be 208.