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In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.
Q. 1, 6, 15, (___), 45, 66, 91
- a)25
- b)26
- c)27
- d)28
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In this questions, a number series is given with one term missing. Cho...
Pattern in the series is, +5, +9, .., .., +21, +25
So 4 is getting increased at every term addition.
Missing term in the series will be 15+(9+4)
= 15+13 = 28
So 4 is getting increased at every term addition.
Missing term in the series will be 15+(9+4)
= 15+13 = 28
Most Upvoted Answer
In this questions, a number series is given with one term missing. Cho...
6 - 1= 5 , 15 - 6 = 9 then, 9 - 5 = 4. then, 9+4=13 now 15+13= 28
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Community Answer
In this questions, a number series is given with one term missing. Cho...
Pattern:
To find the missing term in the given number series, let's analyze the pattern:
The series starts with 1 and follows an increasing pattern.
1 -> 1 + 5 = 6 -> 6 + 9 = 15 -> 15 + 13 = ? -> ? + 17 = 45 -> 45 + 21 = 66 -> 66 + 25 = 91
Explanation:
To identify the pattern, we need to observe the differences between consecutive terms.
The difference between the first two terms is 5 (6 - 1).
The difference between the second and third terms is 9 (15 - 6).
The difference between the third and fourth terms is 13 (15 - 6).
First Difference:
5, 9, 13
The first difference is increasing by 4 each time.
Second Difference:
4, 4
The second difference is constant.
Using the Pattern:
To find the missing term, we can continue the pattern by adding the second difference to the last given term.
91 + 29 = 120
Therefore, the missing term in the given number series is 120.
Conclusion:
The correct answer is option 'D' (28).
To find the missing term in the given number series, let's analyze the pattern:
The series starts with 1 and follows an increasing pattern.
1 -> 1 + 5 = 6 -> 6 + 9 = 15 -> 15 + 13 = ? -> ? + 17 = 45 -> 45 + 21 = 66 -> 66 + 25 = 91
Explanation:
To identify the pattern, we need to observe the differences between consecutive terms.
The difference between the first two terms is 5 (6 - 1).
The difference between the second and third terms is 9 (15 - 6).
The difference between the third and fourth terms is 13 (15 - 6).
First Difference:
5, 9, 13
The first difference is increasing by 4 each time.
Second Difference:
4, 4
The second difference is constant.
Using the Pattern:
To find the missing term, we can continue the pattern by adding the second difference to the last given term.
91 + 29 = 120
Therefore, the missing term in the given number series is 120.
Conclusion:
The correct answer is option 'D' (28).
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In this questions, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the black spaces.Q. 1, 6, 15, (___), 45, 66, 91a)25 b)26 c)27d)28Correct answer is option 'D'. Can you explain this answer?
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