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There is a series of numbers which follow some definite order. Find the missing term and complete the series.
2, 4, 4, /8, 16, 16, 256, ?
- a)60
- b)36
- c)32
- d)180
Correct answer is option 'C'. Can you explain this answer?
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There is a series of numbers which follow some definite order.Find the...
Series Analysis:
The given series is: 2, 4, 4, 8, 16, 16, 256, ?
Looking at the series, we can observe the following pattern:
- The first term is 2.
- The second term is double the first term (2 * 2 = 4).
- The third term is the same as the second term (4).
- The fourth term is double the third term (4 * 2 = 8).
- The fifth term is double the fourth term (8 * 2 = 16).
- The sixth term is the same as the fifth term (16).
- The seventh term is the square of the fifth term (16 * 16 = 256).
Missing Term Calculation:
To find the missing term in the series, we need to apply the same pattern:
- The eighth term should be double the seventh term (256 * 2 = 512).
- However, 512 is not given as an option.
Alternative Approach:
We can also consider an alternative approach to find the missing term by looking at the pattern in a different way:
- The second term is double the first term (2 * 2 = 4).
- The third term is the same as the second term (4).
- The fourth term is double the third term (4 * 2 = 8).
- The fifth term is double the fourth term (8 * 2 = 16).
- The sixth term is the same as the fifth term (16).
- The seventh term is the square of the fifth term (16 * 16 = 256).
Using the Alternative Approach:
- The eighth term can be considered as double the seventh term (16 * 2 = 32).
- Option C (32) matches this result.
Therefore, the missing term in the series is 32, and the correct answer is option C.
The given series is: 2, 4, 4, 8, 16, 16, 256, ?
Looking at the series, we can observe the following pattern:
- The first term is 2.
- The second term is double the first term (2 * 2 = 4).
- The third term is the same as the second term (4).
- The fourth term is double the third term (4 * 2 = 8).
- The fifth term is double the fourth term (8 * 2 = 16).
- The sixth term is the same as the fifth term (16).
- The seventh term is the square of the fifth term (16 * 16 = 256).
Missing Term Calculation:
To find the missing term in the series, we need to apply the same pattern:
- The eighth term should be double the seventh term (256 * 2 = 512).
- However, 512 is not given as an option.
Alternative Approach:
We can also consider an alternative approach to find the missing term by looking at the pattern in a different way:
- The second term is double the first term (2 * 2 = 4).
- The third term is the same as the second term (4).
- The fourth term is double the third term (4 * 2 = 8).
- The fifth term is double the fourth term (8 * 2 = 16).
- The sixth term is the same as the fifth term (16).
- The seventh term is the square of the fifth term (16 * 16 = 256).
Using the Alternative Approach:
- The eighth term can be considered as double the seventh term (16 * 2 = 32).
- Option C (32) matches this result.
Therefore, the missing term in the series is 32, and the correct answer is option C.
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Community Answer
There is a series of numbers which follow some definite order.Find the...
∴ ? = 32
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There is a series of numbers which follow some definite order.Find the missing term and complete the series.2, 4, 4, /8, 16, 16, 256, ?a)60b)36c)32d)180Correct answer is option 'C'. Can you explain this answer?
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