Which of the following is the next number in the sequence: 2, 4, 8, 16, ...?

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Question: Which of the following is the next number in the sequence: 2, 4, 8, 16, ...?

Options:

Correct Answer: 32

Solution:

The sequence is a geometric progression where each term is multiplied by 2. The next number is 16 * 2 = 32.

Which of the following is the next number in the sequence: 2, 4, 8, 16, ...?

Which of the following is the next number in the sequence: 2, 4, 8, 16, ...?

Step 1: Look at the given numbers in the sequence: 2, 4, 8, 16.
Step 2: Notice how each number is related to the one before it.
Step 3: Check how to get from 2 to 4. You multiply 2 by 2 to get 4.
Step 4: Check how to get from 4 to 8. You multiply 4 by 2 to get 8.
Step 5: Check how to get from 8 to 16. You multiply 8 by 2 to get 16.
Step 6: Realize that each number is obtained by multiplying the previous number by 2.
Step 7: To find the next number, take the last number (16) and multiply it by 2.
Step 8: Calculate 16 * 2, which equals 32.
Step 9: Conclude that the next number in the sequence is 32.

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