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Find the missing term and complete the sequence.
25, 31, 43, ?, 115, 211
  • a)
    67
  • b)
    68
  • c)
    69
  • d)
    70
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Find the missing term and complete the sequence.25, 31, 43, ?, 115, 21...
Missing Term in the Sequence: 25, 31, 43, ?, 115, 211

To find the missing term in the given sequence, we need to identify the pattern or rule followed by the numbers.

Identifying the Pattern:
- The difference between the second term (31) and the first term (25) is 6.
- The difference between the third term (43) and the second term (31) is 12.
- The difference between the fourth term (?) and the third term (43) is 18.
- The difference between the fifth term (115) and the fourth term (?) is 72.
- The difference between the sixth term (211) and the fifth term (115) is 96.

Applying the Pattern:
From the pattern observed, it can be seen that the differences between consecutive terms are increasing by 6 each time.

- The difference between the fourth term (?) and the third term (43) is 18, which is obtained by adding 6 to the previous difference of 12.
- Therefore, the missing term should be obtained by adding 18 to the third term (43).
- The missing term is 43 + 18 = 61.

Verification:
Let's verify whether the missing term fits the pattern by checking the difference between the fourth and fifth terms.

- The difference between the fourth term (61) and the third term (43) is 18, which is consistent with the pattern.
- The difference between the fifth term (115) and the fourth term (61) is 54, which is obtained by adding 6 to the previous difference of 48.
- The pattern is consistent.

Conclusion:
Therefore, the missing term in the sequence is 61.
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