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Find the next number 7.14.28.56, ?*

1 Answer

3 votes

Answer: 112

Step-by-step explanation:

The sequence we have is:


7,14,28,56

We can see that the numbers are all multiples of 7:


\begin{gathered} 7*1=7 \\ 7*2=14 \\ 7*4=28 \\ 7*8=56 \end{gathered}

In each step, the number we multiply 7 by, doubles.

So the next number must be 7 multiplied by double of 8 which is 16:


7*16=112

Another way to see this sequence is that each number is twice the previous number:

14 is twice 7

28 is twice 14

56 is twice 28

So the next number must be twice 56:


56*2=112

In any case, the next number is 112

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