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A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
6, 9, 15, 27, ?, 99
- a)51
- b)52
- c)24
- d)94
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A series is given, with one term missing. Choose the correct alternati...
6 + 3 = 9
9 + 6 = 15
15 + 12 = 27
27 + 24 = 51
51 + 48 = 99
Hence, 51 will be missing term in series.
9 + 6 = 15
15 + 12 = 27
27 + 24 = 51
51 + 48 = 99
Hence, 51 will be missing term in series.
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Community Answer
A series is given, with one term missing. Choose the correct alternati...
Given Series: 6, 9, 15, 27, ?, 99
To find the missing term in the series, let's analyze the given terms and observe any pattern or relationship between them.
Pattern Analysis:
- The difference between the first two terms is 9 - 6 = 3.
- The difference between the second and third terms is 15 - 9 = 6.
- The difference between the third and fourth terms is 27 - 15 = 12.
From the pattern, we can see that the differences between the terms are increasing by 3 each time.
Calculating the Differences:
- The difference between the fourth and fifth terms is 99 - 27 = 72.
- The difference between the fifth and sixth terms is 72 + 3 = 75.
Calculating the Missing Term:
To find the missing term, we need to calculate the next difference.
- The difference between the fifth and sixth terms is 75.
- So, the difference between the sixth and seventh terms should be 75 + 3 = 78.
To find the missing term, we need to add this difference to the last given term.
- The missing term is 99 + 78 = 177.
Conclusion:
The missing term in the series 6, 9, 15, 27, ?, 99 is 177.
Therefore, the correct answer is option A) 177.
To find the missing term in the series, let's analyze the given terms and observe any pattern or relationship between them.
Pattern Analysis:
- The difference between the first two terms is 9 - 6 = 3.
- The difference between the second and third terms is 15 - 9 = 6.
- The difference between the third and fourth terms is 27 - 15 = 12.
From the pattern, we can see that the differences between the terms are increasing by 3 each time.
Calculating the Differences:
- The difference between the fourth and fifth terms is 99 - 27 = 72.
- The difference between the fifth and sixth terms is 72 + 3 = 75.
Calculating the Missing Term:
To find the missing term, we need to calculate the next difference.
- The difference between the fifth and sixth terms is 75.
- So, the difference between the sixth and seventh terms should be 75 + 3 = 78.
To find the missing term, we need to add this difference to the last given term.
- The missing term is 99 + 78 = 177.
Conclusion:
The missing term in the series 6, 9, 15, 27, ?, 99 is 177.
Therefore, the correct answer is option A) 177.
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