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In each of the following questions, a number /alphabet series is given with one term missing. Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Q.
6, 11, 21, 36, 56, ?
6, 11, 21, 36, 56, ?
- a)42
- b)51
- c)81
- d)91
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In each of the following questions, a number /alphabet series is given...
5×1=5+1=6
5×2=10+1=11
5×4=20+1=21
5×7=35+1=36
5×11=55+1=56
5×16=80+1=81
5 should multiple with 1,2,4,7,11,16.1+1=2,2+2=4,4+3=7,7+4=11,11+5=16.
there for answer is c
5×2=10+1=11
5×4=20+1=21
5×7=35+1=36
5×11=55+1=56
5×16=80+1=81
5 should multiple with 1,2,4,7,11,16.1+1=2,2+2=4,4+3=7,7+4=11,11+5=16.
there for answer is c
Community Answer
In each of the following questions, a number /alphabet series is given...
Understanding the Series
The given series is:
6, 11, 21, 36, 56, ?
To find the missing number, we first analyze the differences between consecutive terms.
Calculating Differences
- **First Difference**:
11 - 6 = 5
21 - 11 = 10
36 - 21 = 15
56 - 36 = 20
The first differences are:
5, 10, 15, 20
- **Second Difference**:
10 - 5 = 5
15 - 10 = 5
20 - 15 = 5
The second differences are consistent:
5, 5, 5
Identifying the Pattern
The first differences increase by 5 each time, indicating a quadratic pattern in the original series.
Finding the Next Term
To find the next term in the series, we can calculate the next first difference:
20 + 5 = 25
Now we add this difference to the last term (56):
56 + 25 = 81
Thus, the next term in the series is 81.
Conclusion
The correct answer is option 'C':
**81**
The given series is:
6, 11, 21, 36, 56, ?
To find the missing number, we first analyze the differences between consecutive terms.
Calculating Differences
- **First Difference**:
11 - 6 = 5
21 - 11 = 10
36 - 21 = 15
56 - 36 = 20
The first differences are:
5, 10, 15, 20
- **Second Difference**:
10 - 5 = 5
15 - 10 = 5
20 - 15 = 5
The second differences are consistent:
5, 5, 5
Identifying the Pattern
The first differences increase by 5 each time, indicating a quadratic pattern in the original series.
Finding the Next Term
To find the next term in the series, we can calculate the next first difference:
20 + 5 = 25
Now we add this difference to the last term (56):
56 + 25 = 81
Thus, the next term in the series is 81.
Conclusion
The correct answer is option 'C':
**81**
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