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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.
1, 2, 4, 7, ?, 16
  • a)
    14
  • b)
    8
  • c)
    11
  • d)
    15
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A series is given, with one term missing. Choose the correct alternati...
The difference between each increases by one.
2 – 1 = 1
4 – 2 = 2
7 – 4 = 3
Therefore, the required number will be 7 + 4 = 11, or 16 – 5 = 11.
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Most Upvoted Answer
A series is given, with one term missing. Choose the correct alternati...
The difference between each increases by one.
2 – 1 = 1
4 – 2 = 2
7 – 4 = 3
Therefore, the required number will be 7 + 4 = 11, or 16 – 5 = 11.
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Community Answer
A series is given, with one term missing. Choose the correct alternati...
Given series: 1, 2, 4, 7, ?, 16

To find the missing term, we need to observe the pattern in the given series.

Observations:
- The difference between the first and second term is 2 (2 - 1 = 1).
- The difference between the second and third term is 2 (4 - 2 = 2).
- The difference between the third and fourth term is 3 (7 - 4 = 3).

From the given observations, we can conclude that the differences between consecutive terms are increasing by 1 each time.

Identifying the missing term:
- The difference between the fourth and missing term should be 4, as it follows the pattern of increasing differences.
- So, the missing term can be found by adding 4 to the fourth term, which is 7.
- 7 + 4 = 11.

Therefore, the missing term in the given series is 11.

Verification:
Let's verify the answer by checking the difference between the missing term and the last term.
- The difference between the missing term (11) and the last term (16) is 5.
- The difference between the third and fourth term is 3.
- The difference between the second and third term is 2.
- The difference between the first and second term is 1.

As we can see, the differences between consecutive terms are increasing by 1 each time, which confirms that the missing term is 11.

Conclusion:
The correct alternative to complete the series is 11 (option C).
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