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There is a series of numbers which follow some definite order. Find the missing term and complete the series.
1, 1, 4, 8, 9, 27, 16, ?
- a)64
- b)81
- c)144
- d)256
Correct answer is option 'A'. Can you explain this answer?
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There is a series of numbers which follow some definite order.Find the...
The given series is 1, 1, 4, 8, 9, 27, 16, and we need to find the missing term and complete the series.
To solve this series, we need to identify the pattern or rule that governs the sequence of numbers. Let's analyze the given series step by step:
1. The first two terms, 1 and 1, are the same. This could indicate that the series is alternating between two different numbers.
2. The next term, 4, can be obtained by multiplying the first term 1 by 2^2 (2 raised to the power of 2).
3. The fourth term, 8, can be obtained by multiplying the second term 1 by 2^3 (2 raised to the power of 3).
4. The fifth term, 9, can be obtained by multiplying the third term 4 by (2+1) (2 plus 1).
5. The sixth term, 27, can be obtained by multiplying the fourth term 8 by 3.
6. The seventh term, 16, can be obtained by multiplying the fifth term 9 by (2-1) (2 minus 1).
Based on the pattern observed, we can deduce that the series alternates between multiplying by powers of 2 and multiplying by consecutive numbers, starting from 2.
Therefore, to find the missing term, we need to continue the pattern. The next term can be obtained by multiplying the seventh term 16 by (2^4) (2 raised to the power of 4) since it is the next power of 2 in the pattern.
Calculating this, we get:
16 * (2^4) = 16 * 16 = 256
Hence, the missing term in the series is 256. Therefore, the correct answer is option 'A' 256.
To solve this series, we need to identify the pattern or rule that governs the sequence of numbers. Let's analyze the given series step by step:
1. The first two terms, 1 and 1, are the same. This could indicate that the series is alternating between two different numbers.
2. The next term, 4, can be obtained by multiplying the first term 1 by 2^2 (2 raised to the power of 2).
3. The fourth term, 8, can be obtained by multiplying the second term 1 by 2^3 (2 raised to the power of 3).
4. The fifth term, 9, can be obtained by multiplying the third term 4 by (2+1) (2 plus 1).
5. The sixth term, 27, can be obtained by multiplying the fourth term 8 by 3.
6. The seventh term, 16, can be obtained by multiplying the fifth term 9 by (2-1) (2 minus 1).
Based on the pattern observed, we can deduce that the series alternates between multiplying by powers of 2 and multiplying by consecutive numbers, starting from 2.
Therefore, to find the missing term, we need to continue the pattern. The next term can be obtained by multiplying the seventh term 16 by (2^4) (2 raised to the power of 4) since it is the next power of 2 in the pattern.
Calculating this, we get:
16 * (2^4) = 16 * 16 = 256
Hence, the missing term in the series is 256. Therefore, the correct answer is option 'A' 256.
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There is a series of numbers which follow some definite order.Find the...
∴ ? = 64
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There is a series of numbers which follow some definite order.Find the missing term and complete the series.1, 1, 4, 8, 9, 27, 16, ?a)64b)81c)144d)256Correct answer is option 'A'. Can you explain this answer?
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