In the series 1, 2, 4, 8, 16, 32, 64, 128, which number does not belong?

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Question: In the series 1, 2, 4, 8, 16, 32, 64, 128, which number does not belong?

Options:

Correct Answer: 1

Solution:

All numbers are powers of 2 except 1, which is not considered a power of 2 in this context.

In the series 1, 2, 4, 8, 16, 32, 64, 128, which number does not belong?

In the series 1, 2, 4, 8, 16, 32, 64, 128, which number does not belong?

Step 1: Look at the series of numbers: 1, 2, 4, 8, 16, 32, 64, 128.
Step 2: Identify what each number is. The numbers are: 1, 2, 4, 8, 16, 32, 64, and 128.
Step 3: Check if each number is a power of 2. A power of 2 means it can be written as 2 raised to some whole number.
Step 4: The number 2^0 is 1, 2^1 is 2, 2^2 is 4, 2^3 is 8, 2^4 is 16, 2^5 is 32, 2^6 is 64, and 2^7 is 128.
Step 5: Notice that all numbers except 1 can be expressed as 2 raised to a whole number greater than or equal to 1.
Step 6: Conclude that 1 is the only number that does not fit the pattern of being a power of 2 in this context.

Powers of 2 – The series consists of numbers that are powers of 2, where each number is obtained by multiplying the previous number by 2.
Exclusion Criteria – Understanding the criteria for exclusion based on the definition of powers of 2, particularly the treatment of the number 1.