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There is a series of numbers which follow some definite order. Find the missing term and complete the series.
1, 5, 7, 14, 18, 20, 40, 44, 46, ?
- a)50
- b)48
- c)52
- d)92
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
There is a series of numbers which follow some definite order.Find the...
Series: 1, 5, 7, 14, 18, 20, 40, 44, 46, ?
To find the missing term in the given series, we need to analyze the pattern and identify the rule that governs the sequence. Let's break down the series and analyze it step by step.
1. Initial observation: Looking at the series, we can see that it does not follow a simple arithmetic or geometric progression. Therefore, we need to look for a different pattern.
2. Alternate increase: If we observe the series closely, we can notice that it alternates between increasing by 4 and 2. For example, the difference between the first and second terms is 4 (5 - 1 = 4), the difference between the second and third terms is 2 (7 - 5 = 2), and so on.
3. Grouping: Another pattern that can be observed is that the terms can be grouped into pairs. The first pair (1, 5) increases by 4, the second pair (7, 14) increases by 7, the third pair (18, 20) increases by 2, and the fourth pair (40, 44) increases by 4.
4. Alternate grouping: If we further analyze the pairs, we can see that they alternate between increasing and decreasing differences. The first pair increases by 4, the second pair increases by 7, the third pair decreases by 2, and the fourth pair increases by 4.
5. Pattern identification: Based on the above observations, we can conclude that the series follows the pattern of alternating increases and decreases in the differences between the terms.
6. Missing term: Now, let's find the missing term in the series. The last pair (44, 46) increases by 4, so the missing term should have a difference of 7 from the last term. Adding 7 to 46, we get 53.
7. Conclusion: Therefore, the missing term in the series is 53.
The correct answer is Option D) 53.
To find the missing term in the given series, we need to analyze the pattern and identify the rule that governs the sequence. Let's break down the series and analyze it step by step.
1. Initial observation: Looking at the series, we can see that it does not follow a simple arithmetic or geometric progression. Therefore, we need to look for a different pattern.
2. Alternate increase: If we observe the series closely, we can notice that it alternates between increasing by 4 and 2. For example, the difference between the first and second terms is 4 (5 - 1 = 4), the difference between the second and third terms is 2 (7 - 5 = 2), and so on.
3. Grouping: Another pattern that can be observed is that the terms can be grouped into pairs. The first pair (1, 5) increases by 4, the second pair (7, 14) increases by 7, the third pair (18, 20) increases by 2, and the fourth pair (40, 44) increases by 4.
4. Alternate grouping: If we further analyze the pairs, we can see that they alternate between increasing and decreasing differences. The first pair increases by 4, the second pair increases by 7, the third pair decreases by 2, and the fourth pair increases by 4.
5. Pattern identification: Based on the above observations, we can conclude that the series follows the pattern of alternating increases and decreases in the differences between the terms.
6. Missing term: Now, let's find the missing term in the series. The last pair (44, 46) increases by 4, so the missing term should have a difference of 7 from the last term. Adding 7 to 46, we get 53.
7. Conclusion: Therefore, the missing term in the series is 53.
The correct answer is Option D) 53.
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Community Answer
There is a series of numbers which follow some definite order.Find the...
1 + 4 = 5; 5 + 2 = 7; 7 × 2 = 14
14 + 4 = 18; 18 + 2 = 20; 20 × 2 = 40
40 + 4 = 44; 44 + 2 = 46; 46 × 2 = 92
∴ ? = 92
14 + 4 = 18; 18 + 2 = 20; 20 × 2 = 40
40 + 4 = 44; 44 + 2 = 46; 46 × 2 = 92
∴ ? = 92
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There is a series of numbers which follow some definite order.Find the missing term and complete the series.1, 5, 7, 14, 18, 20, 40, 44, 46, ?a)50b)48c)52d)92Correct answer is option 'D'. Can you explain this answer?
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