Final answer:
The next number in the sequence 7, 14, 28, 56 is obtained by continuing the pattern of doubling the previous number, resulting in 112.
Step-by-step explanation:
Identifying the Next Number in the Sequence
The question asks for the next number in the sequence 7, 14, 28, 56.... To find the pattern, we look at how the numbers change from one to the next.
We can see that each number is doubled (multiplied by 2) to get the next number. Starting with 7, when we double it, we get 14 (7x2=14), then doubling 14 gives us 28 (14x2=28), and doubling 28 gives us 56 (28x2=56). Therefore, the next number in the sequence is obtained by doubling 56, which is 112 (56x2=112).