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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. 6, 11, 21, 36, 56, (___)
- a)42
- b)51
- c)81
- d)91
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In this questions, a number series is given with one term missing. Cho...
The pattern is + 5, + 10, + 15, + 20,....
.'. Missing Number = 56 + 25 = 81.
.'. Missing Number = 56 + 25 = 81.
Most Upvoted Answer
In this questions, a number series is given with one term missing. Cho...
Pattern Analysis:
To find the missing term in the given number series, we need to analyze the pattern followed by the given sequence. Let's break down the series and observe the differences between consecutive terms:
6, 11, 21, 36, 56, ___
Difference between consecutive terms:
- The difference between the 2nd and 1st terms is 11 - 6 = 5.
- The difference between the 3rd and 2nd terms is 21 - 11 = 10.
- The difference between the 4th and 3rd terms is 36 - 21 = 15.
- The difference between the 5th and 4th terms is 56 - 36 = 20.
Pattern in the differences:
If we observe the differences between consecutive terms, we can see that they are increasing by 5, 10, 15, 20, and so on. This indicates an arithmetic progression (AP) with a common difference of 5.
Finding the missing term:
To find the missing term, we need to continue the pattern by adding the next difference to the last term of the series.
The last term is 56, and the next difference is 20. Adding 20 to 56, we get 76.
Therefore, the missing term in the given number series is 76.
Verification:
Let's verify our answer by checking if the pattern holds for the entire series:
6, 11, 21, 36, 56, 76
- The difference between the 2nd and 1st terms is 11 - 6 = 5.
- The difference between the 3rd and 2nd terms is 21 - 11 = 10.
- The difference between the 4th and 3rd terms is 36 - 21 = 15.
- The difference between the 5th and 4th terms is 56 - 36 = 20.
- The difference between the 6th and 5th terms is 76 - 56 = 20.
The differences between consecutive terms remain consistent throughout the series, confirming that our answer is correct.
Therefore, option 'C' (81) is the correct alternative that continues the same pattern and fills in the blank space.
To find the missing term in the given number series, we need to analyze the pattern followed by the given sequence. Let's break down the series and observe the differences between consecutive terms:
6, 11, 21, 36, 56, ___
Difference between consecutive terms:
- The difference between the 2nd and 1st terms is 11 - 6 = 5.
- The difference between the 3rd and 2nd terms is 21 - 11 = 10.
- The difference between the 4th and 3rd terms is 36 - 21 = 15.
- The difference between the 5th and 4th terms is 56 - 36 = 20.
Pattern in the differences:
If we observe the differences between consecutive terms, we can see that they are increasing by 5, 10, 15, 20, and so on. This indicates an arithmetic progression (AP) with a common difference of 5.
Finding the missing term:
To find the missing term, we need to continue the pattern by adding the next difference to the last term of the series.
The last term is 56, and the next difference is 20. Adding 20 to 56, we get 76.
Therefore, the missing term in the given number series is 76.
Verification:
Let's verify our answer by checking if the pattern holds for the entire series:
6, 11, 21, 36, 56, 76
- The difference between the 2nd and 1st terms is 11 - 6 = 5.
- The difference between the 3rd and 2nd terms is 21 - 11 = 10.
- The difference between the 4th and 3rd terms is 36 - 21 = 15.
- The difference between the 5th and 4th terms is 56 - 36 = 20.
- The difference between the 6th and 5th terms is 76 - 56 = 20.
The differences between consecutive terms remain consistent throughout the series, confirming that our answer is correct.
Therefore, option 'C' (81) is the correct alternative that continues the same pattern and fills in the blank space.
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Community Answer
In this questions, a number series is given with one term missing. Cho...
6+5=11 11+10=21 21+15=36 36+20=56 Now,since the pattern is going in the order of multiples of 5 (5,10,15,20,25....)therefore the next pattern will be 56+25=81
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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. 6, 11, 21, 36, 56, (___)a)42 b)51 c)81d)91Correct answer is option 'C'. Can you explain this answer?
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