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3, 3, 13, 37, 105, ?
  • a)
    232
  • b)
    221
  • c)
    223
  • d)
    225
  • e)
    242
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
3, 3, 13, 37, 105, ?a)232b)221c)223d)225e)242Correct answer is option ...
3 + 1³ – 1 = 3
3 + 2³ + 2 = 13
13 + 3³ – 3 = 37
37 + 4³ + 4 = 105
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Most Upvoted Answer
3, 3, 13, 37, 105, ?a)232b)221c)223d)225e)242Correct answer is option ...
Given sequence: 3, 3, 13, 37, 105

The given sequence seems to follow a pattern, and we need to determine the next number in the sequence.

1. Analyzing the pattern:
To identify the pattern, let's find the differences between consecutive terms:

3, 3, 13, 37, 105

The differences between consecutive terms are:

3, 10, 24, 68

We can observe that the differences are increasing by a constant amount:

10 - 3 = 7
24 - 10 = 14
68 - 24 = 44

The differences are increasing by 7, 14, and 44 successively. This suggests that the next difference would be 44 + 14 = 58.

2. Applying the pattern:
To find the next term in the sequence, we need to add the next difference to the last term:

105 + 58 = 163

Therefore, the next term in the sequence is 163.

3. Identifying the answer option:
Now, let's check which option matches the next term in the sequence:
a) 232
b) 221
c) 223
d) 225
e) 242

The correct answer is option D, 225, as it matches the next term in the sequence.

Conclusion:
The next term in the given sequence 3, 3, 13, 37, 105 is 225 (option D).
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3, 3, 13, 37, 105, ?a)232b)221c)223d)225e)242Correct answer is option 'D'. Can you explain this answer?
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