<prompt> What is the next number in the following sequence?2, 6, 14, 30  <response>: The next number in the sequence 2, 6, 14, 30 is 62. This sequence follows a pattern where each number is obtained by multiplying the previous number by 2 and adding 2. Starting with 2, - the next number is 2 x 2 2 6- the next number after 6 is 6 x 2 2 14- the next number after 14 is 14 x 2 2 30- so, the next number after 30 would be 30 x 2 2 62. 